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Dongsoo Shin, Deformations of Sandwiched Surface Singularities and the Minimal Model Program

February 28, 2023 @ 10:00 am - 10:50 am KST

B236-1, IBS Korea, Republic of


Dongsoo Shin
Chungnam National U.

(This is a part of Seminars on Algebraic Surfaces and Related Topics.)

We investigate the correspondence between three theories of deformations of rational surface singularities: de Jong and van Straten’s picture deformations, Kollár’s P-resolutions, and Pinkham’s smoothings of negative weights. We provide an explicit method for obtaining, from a given deformation in one theory, deformations in other theories that parameterize the same irreducible components of the deformation space of the singularity. We employ the semi-stable minimal model program significantly for this purpose. We prove Kollár conjecture for various sandwiched surface singularities as an application. This is a joint work with Heesang Park.


February 28, 2023
10:00 am - 10:50 am KST
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IBS Korea, Republic of


Yongnam Lee
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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