Loading Events

« All Events

  • This event has passed.

Kangjin Han, On the Singular Loci of Higher Secants of Veronese Varieties

December 9, 2021 @ 2:00 pm - 2:50 pm KST



Kangjin Han

(This is a part of Algebraic Geometry Day at CCG in IBS.)

For a projective variety X in PN, the k-secant variety σk(X) is defined to be the closure of the union of k-planes in PN spanned by k-points of X. In this talk, we consider singular loci of higher secant varieties of the image of the d-uple Veronese embedding of projective n-space, νd(Pn). For the singular loci of k-secant of νd(Pn), it has been known only for k≤3. First, I will review some basic notions and results and then explain projective techniques with respect to an explicit calculation of the Gauss map of X and computation for conormal space via a certain type of Young flattening. As investigating geometry of moving tangents along subvarieties, we determine the (non-)singularity of so-called ‘subsecant loci’ of k-secant of νd(Pn) for arbitrary k. This is a joint work with Katsuhisa Furukawa.


December 9, 2021
2:00 pm - 2:50 pm KST
Event Category:
Event Tags:




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
Copyright © IBS 2020. All rights reserved.