Papers

Preprint

1. Jihun Kim, Paul-Andi Nagy and JeongHyeong Park, Higher order obstructions to Riccati-type equations, 2024.
   arXiv:2407.16915Last update: July 26, 2024
2. Patrick Brosnan, Laura Escobar, Jaehyun Hong, Donggun Lee, Eunjeong Lee, Anton Mellit and Eric Sommers, Automorphisms and deformations of regular semisimple Hessenberg varieties, 2024.
   arXiv:2405.18313Last update: May 29, 2024
3. Chiwon Yoon and Haesong Seo, Secant variety and syzygies of Hilbert scheme of two points, 2024.
   arXiv:2403.07315Last update: April 18, 2024
4. Cécile Gachet, Zhining Liu and Joaquín Moraga,  Fundamental groups of log Calabi-Yau surfaces, 2023
   arXiv:2312.03981Last update: February 2, 2024
5. Feng Shao and Guolei Zhong,  Bigness of tangent bundles and dynamical rigidity of Fano manifolds of Picard number 1 (with an appendix by Jie Liu), 2023
   arXiv:2311.15559Last update: December 6, 2023
6. Fei Hu and Guolei Zhong,  Canonical heights for abelian group actions of maximal dynamical rank, 2023
   arXiv:2311.17759Last update: December 6, 2023
7. Minseong Kwon,  Spherical Geometry of Hilbert Schemes of Conics in Adjoint Varieties, 2023
   arXiv:2309.13935Last update: December 5, 2023
8. Seungjae Lee and Aeryeong Seo,  Cohomology Isomorphism of Symmetric Power of Cotangent Bundle of Ball quotient and Its Toroidal Compactification, 2023
   arXiv:2311.01931Last update: December 5, 2023
9. Federico Costanza, Michael Eastwood, Thomas Leistner and Benjamin McMillan, The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces, 2023
   arXiv:2302.04480v1Last update: December 5, 2023
10. Sung-Yeon Kim, Rationality of proper holomorphic maps between bounded symmetric domains of the first kind, 2023
    arXiv:2305.01875Last update: November 20, 2023
11. Sung-Yeon Kim, Ngaiming Mok and Aeryeong Seo, Proper holomorphic maps between bounded symmetric domains with small rank differences, 2023
    arXiv:2307.03390Last update: November 20, 2023
12. Masataka Iwai, Shin-ichi Matsumura and Guolei Zhong, Positivity of tangent sheaves of projective varieties – – the structure of MRC fibrations, 2023
    arXiv:2309.09489Last update: September 19, 2023
13. Jaewoo Jung, Jinha Kim, Minki Kim, and Yeongrak Kim, An Eisenbud-Goto type inequality for Stanley-Reisner ideals and simplicial complexes, 2023
    arXiv:2308.03338Last update: September 5, 2023
14. Paul-Andi Nagy and Uwe Semmelmann, Second order Einstein deformations, 2023
    arXiv:2305.07391Last update: May 15, 2023
15. Hosung Kim and Yongnam Lee, Lagrangian fibration structure on the cotangent bundle of a del Pezzo surface of degree 4, 2022
    arXiv:2210.01317Last update: October 7, 2022
16. Fabrizio Catanese, Yonghwa Cho, Stephen Coughlan, Davide Frapporti, Alessandro Verra and Michael Kiermaier, Varieties of nodal surfaces, coding theory and discriminants of cubic hypersurfaces, 2022
    arXiv:2206.05492Last update: August 16, 2022
17. Luca Rizzi and Francesco Zucconi, Local Systems, Algebraic Foliations and Fibrations, 2022
    arXiv:2205.15085Last update: August 9, 2022
18. Hosung Kim, Jeong-Seop Kim, and Yongnam Lee, Bigness of the tangent bundle of a Fano threefold with Picard number two, 2022
    arXiv:2201.06351Last update: August 1, 2022
19. Jaehyun Hong and Shin-Young Kim, Characterizations of smooth projective horospherical varieties of Picard number one, 2022
    arXiv:2203.10313Last update: April 8, 2022

Published

Accepted

20. Juanyong Wang and Guolei Zhong, Strictly nef divisors on singular threefolds, International Journal of Mathematics, 2024.
    doi:10.1142/S0129167X2450054XLast update: July 21, 2024
21. Doyoung Choi,  Degree of the 3-secant variety, J. Pure Appl. Algebra (to appear).
    arXiv:2302.00913Last update: March 18, 2024
22. Paul-Andi Nagy and Uwe Semmelmann,  The G₂ geometry of 3-Sasaki structures , accepted for publication in Journal of Geometric Analysis 2023
    arXiv:2101.04494Last update: December 6, 2023
23. Tien-Cuong Dinh and Guolei Zhong,  Periodic points for meromorphic self-maps of Fujiki varieties, Indiana University Mathematics Journal (to appear), 2024.
    arXiv:2312.02533Last update: July 21, 2024
24. Seungjae Lee, On a survey of weighted Bergman space of holomorphic ball bundles, to appear in Proceedings of CCGA2022 and KSCV14
    Last update: December 5, 2023
25. Young-Hoon Kiem and Donggun Lee, Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials, to appear in Algebraic Combinatorics
    arXiv:2307.01130Last update: January 17, 2024
26. Jaehyun Hong and Aeryeong Seo, Ampleness of normal bundles of base cycles in flag domains, to appear in Transf. Groups.
    arXiv:2310.16521Last update: October 30, 2023
27. Paul-Andi Nagy and Uwe Semmelmann, Eigenvalue estimates for 3-Sasaki structures, accepted for publication in J.Reine Angew. Math. 2023
    arXiv:2107.12982v2Last update: June 27, 2023
28. Luca Rizzi, On Massey products and Rational homogeneous varieties, accepted for publication in the Kyoto Journal of Math.
    Last update: August 9, 2022

2024

29. Jie Liu, Wenhao Ou, Juanyong Wang, Xiaokui Yang and Guolei Zhong, Algebraic fibre spaces with strictly nef relative anti-log canonical divisor, Journal of the London Mathematical Society 109, no. 6, Article ID e12942, 26 p. (2024).
    doi:10.1112/jlms.12942Last update: July 21, 2024
30. Grigoriy Blekherman, Justin Chen and Jaewoo Jung, Sums of squares, Hankel index and almost real rank, Forum of Mathematics, Sigma, Volume 12 , 2024 , e70.
    doi:10.1017/fms.2024.45Last update: June 11, 2024
31. Jun-Muk Hwang and Qifeng Li, Recognizing the G₂-horospherical manifold of Picard number 1 by varieties of minimal rational tangents, Transform. Groups 29 (2024), no. 1, 143–178.
    doi:10.1007/s00031-022-09791-zLast update: March 22, 2024
32. Young-Hoon Kiem and Donggun Lee, Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture, Journal of Combinatorial Theory, Series A 206 (2024), 105884.
    doi:10.1016/j.jcta.2024.105884Last update: March 5, 2024
33. Zhining Liu, A note on polarized varieties with high nef value, Advances in Geometry, vol. 24, no. 1, 2024, pp. 57-77.
    doi:10.1515/advgeom-2023-0030Last update: February 2, 2024
34. Jia Jia, Yongnam Lee and Guolei Zhong, Smooth projective surfaces with pseudo-effective tangent bundles, Journal of the Mathematical Society of Japan, 2024.
    doi:10.2969/jmsj/91579157 arXiv:2302.10077Last update: July 21, 2024
35. Kyusik Hong, DongSeon Hwang and Kyeong-Dong Park, Kähler-Einstein metrics on smooth Fano toroidal symmetric varieties of type AIII, Internat. J. Math., Vol. 35, No. 07, 2450023 (2024).
    doi:10.1142/S0129167X2450023X arXiv:2209.14720Last update: June 10, 2024
36. Feng Shao and Guolei Zhong, Boundedness of finite morphisms onto Fano manifolds with large Fano index, Journal of Algebra 639 (2024), pp 678-707
    doi:10.1016/j.jalgebra.2023.10.030 arXiv:2211.16380Last update: December 6, 2023
37. Insong Choe, George H. Hiching, and Jaehyun Hong, Simplicity of tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve, C. R. Math. Acad. Sci. Paris 362 (2024), 493–510.
    doi:10.5802/crmath.560 arXiv:2211.02439Last update: July 25, 2024
38. Sung-Yeon Kim and Aeryeong Seo, Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains, Journal of the London Mathematical Society, published online (2024).
    doi:10.1112/jlms.12882 arXiv:2202.05473Last update: April 19, 2024
39. Sungmin Yoo and Jihun Yum, Limits of Bergman kernels on a tower of coverings of compact Kahler manifolds, Math. Ann., Volume 388, pages 1609–1628, (2024). .
    doi:10.1007/s00208-022-02552-z arXiv:2202.01638Last update: April 17, 2024
40. Jaehyun Hong and Tohru Morimoto, Prolongations, invariants, and fundamental identities of geometric structures, Differential Geom. Appl. 92 (2024), 102107.
    doi:10.1016/j.difgeo.2023.102107 arXiv:2203.05182Last update: July 25, 2024

2023

41. Jinwon Choi, Young-Hoon Kiem and Donggun Lee, Representations on the cohomology of M_{0, n}, Advances in Mathematics 435 (2023), 109364.
    doi:10.1016/j.aim.2023.109364Last update: November 21, 2023
42. Zhining Liu, On the fundamental group of compact Kähler orbifolds with nef anti-canonical bundle, Math Z. 305, 33 (2023).
    doi:10.1007/s00209-023-03354-y arXiv:2201.09558Last update: November 11, 2023
43. Jun-Muk Hwang and Qifeng Li, Lines on holomorphic contact manifolds and a generalization of (2,3,5)-distributions to higher dimensions, Nagoya Math. J. 251, 652-668 (2023).
    doi:10.1017/nmj.2023.3Last update: September 7, 2023
44. DongSeon Hwang, Shin-young Kim and Kyeong-Dong Park, Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one, Ann Glob Anal Geom 64, 13 (2023).
    doi:10.1007/s10455-023-09915-yLast update: August 8, 2023
45. Jun-Muk Hwang, Partial compactification of metabelian Lie groups with prescribed varieties of minimal rational tangents, Int. Math. Res. Not. 2023 (2023) 8596-8619.
    doi:10.1093/imrn/rnac098Last update: July 24, 2023
46. Dano Kim and Hoseob Seo, On L² extension from singular hypersurfaces, Math. Z. 303 (2023), no. 4, 89
    doi:10.1007/s00209-023-03248-z arXiv:2104.03554Last update: November 29, 2023
47. Jongbong An and Hoseob Seo, On equisingular approximation of plurisubharmonic functions, J. Math. Anal. Appl. 521 (2023), no. 2, Paper No. 126987
    doi:10.1016/j.jmaa.2022.126987 arXiv:2112.02318Last update: February 23, 2023
48. Guolei Zhong, Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank, Mathematische Nachirchten, Vol. 296 (2023), no. 7, 3128—3135
    doi:10.1002/mana.202200127 arXiv:2203.07243Last update: July 12, 2023
49. Hosung Kim and Yongnam Lee, Normalization of the congruence of bitangents to a hypersurface in P³, J. Pure Appl. Algebra 227 (2023), no. 2, Paper No. 107183
    doi:10.1016/j.jpaa.2022.107183Last update: August 1, 2022
50. Seungjae Lee and Aeryeong Seo, Weighted L² holomorphic functions on ball-fiber bundles over compact Kähler manifolds, J. Geom. Anal. 33 (2023), no. 7, 233.
    doi:10.1007/s12220-023-01288-9 arXiv:2201.10915Last update: May 17, 2023
51. Seungjae Lee and Aeryeong Seo, Symmetric differentials and jets extension of L² holomorphic functions, Indiana Univ. Math. J. 72 (2023), no. 3, 1239-1272.
    Last update: July 19, 2023
52. Tien-Cuong Dinh, Lucas Kaufmann and Hao Wu, Berry-Esseen bounds with targets for products of random matrices, J. Geom. Anal. 33, 76 (2023).
    doi:10.1007/s12220-022-01127-3 arXiv:2111.14109Last update: December 16, 2023
53. Tien-Cuong Dinh, Lucas Kaufmann and Hao Wu, Decay of Fourier coefficients for Furstenberg measures, Trans. Amer. Math. Soc. 376 (2023), 6873-6926.
    doi:10.1090/tran/8882 arXiv:2108.06006Last update: December 16, 2023
54. Soojin Cho, Jaehyun Hong, and Eunjeong Lee, Permutation module decomposition of the second cohomology of  a regular semisimple Hessenberg variety, International Mathematics Research Notices 2023 (2023), no. 24, 22004–22044
    doi:10.1093/imrn/rnac328 arXiv:2107.00863Last update: January 2, 2024
55. Soojin Cho, Jaehyun Hong, and Eunjeong Lee, Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties, Adv. Math. 423 (2023), Paper No. 109018.
    arXiv:2008.12500Last update: September 4, 2023
56. Dinh Tuan Huynh, Lucas Kaufmann and Duc-Viet Vu, Intersection of (1,1)-currents and the domain of definition of the Monge-Ampère operator, Indiana Univ. Math. J., 72 no. 1 (2023).
    arXiv:2003.12501Last update: December 16, 2023
57. Tien-Cuong Dinh, Lucas Kaufmann and Hao Wu, Random walks on SL₂(C): spectral gap and local limit theorems, Probab. Theory Relat. Fields 186, 877–955 (2023).
    doi:10.1007/s00440-023-01191-y arXiv:2106.04019Last update: December 16, 2023

2022

58. Jun-Muk Hwang and Qifeng Li, Minimal rational curves and 1-flat irreducible G-structures, J. Geom. Analysis 32 (2022)
    doi:10.1007/s12220-022-00901-7Last update: June 19, 2023
59. DongSeon Hwang, Hwayoung Lee, Jae-Hyouk Lee and Changzheng Li, W-translated Schubert divisors and transversal intersections, Sci. China Math. 65, 1997–2018 (2022).
    doi:10.1007/s11425-021-1940-6Last update: December 23, 2022
60. Jun-Muk Hwang, Lagrangian loci in moduli of abelian surfaces, European J. Math. 8 (2022) 972-984.
    doi:10.1007/s40879-021-00476-7Last update: November 7, 2022
61. Sung-Yeon Kim and Aeryeong Seo, Totally geodesic discs in bounded symmetric domains, Complex Anal. Synerg. 8 (2022), no. 3, Paper No. 10, 6 pp. 32M15 (53C55)
    doi:10.1007/s40627-022-00098-zLast update: August 16, 2022
62. Sung-Yeon Kim and Dmitri Zaitsev, q-effectiveness for holomorphic subelliptic multipliers, Pure Appl. Math. Q. 18 (2022), no. 2, 617–637. 32W05 (35N15)
    doi:10.4310/PAMQ.2022.v18.n2.a12Last update: August 16, 2022
63. Paul-Andi Nagy and Uwe Semmelmann, Conformal Killing forms in Kähler geometry, Illinois J. Math. Advance Publication 1-36, 2022
    doi:10.1215/00192082-10088173Last update: August 10, 2022
64. Luca Cesarano, Luca Rizzi and Francesco Zucconi, On Birationally Trivial Families and Adjoint Quadrics, Proc. Edinb. Math. Soc., published online (2022)
    doi:10.1017/S0013091522000232Last update: August 9, 2022
65. Young-Jun Choi and Sungmin Yoo, Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains, Doc. Math. 27 (2022) 847-868
    doi:10.25537/dm.2022v27.847-868Last update: August 2, 2022
66. Jun-Muk Hwang, Legendrian cone structures and contact prolongations, in “Geometry, Lie Theory and Applications – The Abel symposium 2019”. Abel Symposia 16 (2022) 131-145
    doi:10.1007/978-3-030-81296-6_7Last update: July 5, 2022
67. Jun-Muk Hwang, Varieties of minimal rational tangents of unbendable rational curves subordinate to contact structures, J. Math. Soc. Japan 74 (2022) 571-590
    doi:10.2969/jmsj/85868586Last update: July 5, 2022
68. Jun-Muk Hwang and Katharina Neusser, Cone structures and parabolic geometries, Math. Annalen 383 (2022) 715-759
    doi:10.1007/s00208-021-02208-4Last update: July 5, 2022
69. Soojin Cho and Jaehyun Hong, Positivity of chromatic symmetric functions associated with Hessenberg functions of bounce number 3, Electron. J. Combin. 29 (2022), no. 2, Paper No. 2.19
    doi:10.37236/10843Last update: July 5, 2022
70. Jae-Hyouk Lee, Kyeong-Dong Park and Sungmin Yoo, K-stability of Gorenstein Fano group compactifications with rank two, Internat. J. Math., Vol. 33, No. 13 (2022).
    doi:10.1142/S0129167X22500835 arXiv:2203.11058Last update: December 16, 2023
71. Tien-Cuong Dinh, Lucas Kaufmann and Hao Wu, Berry-Esseen bound and Local Limit Theorem for the coefficients of products of random matrices, Journal of the Institute of Mathematics of Jussieu, 1-31 (2022).
    doi:10.1017/S1474748022000561 arXiv:2110.09032Last update: December 16, 2023
72. Qifeng Li, Fano deformation rigidity of rational homogeneous spaces of submaximal Picard numbers, Math. Ann. 383 (2022) 203-257
    doi:10.1007/s00208-021-02181-yLast update: August 4, 2022
73. Jaehyun Hong, Simplicity of tangent bundles of smooth horospherical varieties of Picard number one, C. R. Math. Acad. Sci. Paris 360 (2022), 285–290.
    doi:10.5802/crmath.299 arXiv:2107.01512Last update: July 5, 2022

2021

74. Jun-Muk Hwang, Extending Nirenberg-Spencer’s question on holomorphic embeddings to families of holomorphic embeddings, Duke Math. J. vol. 170 (2021) 3237-3265.
    doi:10.1215/00127094-2021-0044Last update: November 5, 2021
75. Jun-Muk Hwang and Qifeng Li, Unbendable rational curves of Goursat type and Cartan type, J. Math. Pures Appl. vol. 155 (2021) 1-31.
    doi:10.1016/j.matpur.2021.05.006Last update: November 5, 2021
76. Jun-Muk Hwang and Qifeng Li, Characterizing Symplectic Grassmannians by varieties of minimal rational tangents, J. Diff. Geom. vol. 119 (2021) 309-381.
    doi:10.4310/jdg/1632506422Last update: November 5, 2021
77. Sung-Yeon Kim and Dmitri Zaitsev, Triangular resolutions and effectiveness for holomorphic subelliptic multipliers, Adv. Math. vol. 387, 2021.
    doi:10.1016/j.aim.2021.107803Last update: September 15, 2021
78. Tien-Cuong Dinh, Lucas Kaufmann and Hao Wu, Products of random matrices: a dynamical point of view, Pure Appl. Math. Q. 17 (2021), no. 3, 933-969, July 2021.
    doi:10.4310/PAMQ.2021.v17.n3.a4Last update: September 14, 2021
79. Masanori Adachi and Jihun Yum, Diederich-Fornæss and Steinness indices for abstract CR manifolds, J. Geom. Anal. 31 (2021), no. 8, 8385–8413.
    doi:10.1007/s12220-020-00598-6 arXiv:2003.01330Last update: August 9, 2022