구분 |
IBS-KAIST 세미나 |
분류 |
대수기하학 |
제목 |
The Martens-Mumford Theorem and the Green-Lazarsfeld Secant Conjecture |
Abstract |
The syzygies of a curve are the algebraic relation amongst the equation defining it. They are an algebraic concept but they have surprising applications to geometry. For example, the Green-Lazarsfeld secant conjecture predicts that the syzygies of a curve of sufficiently high degree are controlled by its special secants. We prove this conjecture for all curves of Clifford index at least two and not bielliptic and for all line bundles of a certain degree. Our proof is based on a classic result of Martens and Mumford on Brill-Noether varieties and on a simple vanishing criterion that comes from the interpretation of syzygies through symmetric products of curves. |
일시 |
2023-02-07
(Tue) / 11:00 ~ 12:00 |
장소 |
IBS-CCG B266 |
강연언어 |
영어 |
강연자성명 |
Daniele Agostini |
강연자소속 |
Eberhard Karls Universität Tübingen |
강연자홈페이지 |
|
기타정보 |
|
초청인 |
Jinhyung Park |
URL |
|
담당자 |
Jinhyung Park |
연락처 |
042-350-2747 |