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Events

Colloquia & Seminars

제목
[Seminars] BK 기하학 세미나/ 박지훈(POSTEC/IBS-CGP) 2월 14일~18일 14시 매일 총 5회
행사일
2022.02.14
작성일
2022.01.25
작성자
수학과
게시글 내용


자세한 초록 및 참가 방법은 아래 홈페이지 참조 부탁드립니다.https://sites.google.com/yonsei.ac.kr/yonseigeometry


ZOOM LINK


In order to understand the geometry of a given variety, algebraic geometers usually investigate various divisors on the variety. Divisors are divided into two types. One is Weil and the other is Cartier. In some sense, the former belongs to the realm of geometry and the latter belongs to the realm of algebra. For this reason, to do "algebraic geometry" on a variety, we require the variety to have the feature that Weil and Cartier can be unified. In a general situation,  a Cartier divisor is a Weil divisor. However, for Weil divisors to be Cartier, the variety is required to be locally ufd (factorial) at every point. For instance, a smooth variety is factorial. Singular varieties can also be factorial. However, it is not a simple problem to determine its factoriality for a given singular variety.

In this series of lectures, I explain how to determine whether a given 3-fold with mild singularities is factorial or not. Hypersurfaces in P^4 and double covers of P^3 with compound du Val singularities are the main objects to consider.


The lectures start from scratch. The audience are assumed to have very basic knowledge of algebraic geometry.


첨부
[2022.02.14~18]BK 기하학 세미나(박지훈 POSTEC_IBS-CGP).pdf