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Kangjin Han, Secant variety and its singularity I

January 26, 2023 @ 4:00 pm - 5:00 pm KST

B266, IBS Korea, Republic of


Kangjin Han

Secant variety (or more generally Join) construction is one of the main methods to construct a new geometric object from the original one in classical algebraic geometry. In this series of talks, we first consider some general facts on secant varieties and then focus on a specific topic, i.e. singularity of secants. For this purpose, we review some basic facts and known results in the literature and present some ideas to show (non-)singularity of points in the given secant. We also report a recent work with K. Furukawa on the singular loci of higher secant of Veronese varieties and others. The talks cover such topics as Terracini lemma, identifiability, tangential k-contact locus from geometric side and apolar ideal and defining equations via a Young flattening and so on from algebraic side.


January 26, 2023
4:00 pm - 5:00 pm 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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