A remark on some punctual Quot schemes on smooth projective curves

Time：Fri., 15:30-16:30, Mar. 14, 2025

Venue：B725, Shuangqing Complex Building A

Organizer：Caucher Birkar，Jia Jia

Speaker：Atsushi Ito

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，Jia Jia 贾甲

Speaker：

Atsushi Ito (Tsukuba University)

Time：

Fri., 15:30-16:30, Mar. 14, 2025

Venue：

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Title:

A remark on some punctual Quot schemes on smooth projective curves

Abstract：

For a locally free sheaf $E$ on a smooth projective curve, we can define the punctual Quot scheme which parametrizes torsion quotients of $E$ of length $n$ supported at a fixed point. It is known that the punctual Quot scheme is a normal projective variety with canonical Gorenstein singularities. In this talk, I explain that the punctual Quot scheme is a $\mathbb{Q}$-factorial Fano variety of Picard number one.

DATEMarch 13, 2025

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