Work

A remark on some punctual Quot schemes on smooth projective curves

Year: 2025

Type: article

Abstract: For a locally free sheaf \mathcal{E} on a smooth projective curve, we can define the punctual Quot scheme which parametrizes torsion quotients of \mathcal{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 note, we show that the punctual Quot scheme is a \mathbb{Q} -factorial Fano variety of Picard number one.

Source: EMS Surveys in Mathematical Sciences

DOI: 10.4171/emss/103

Author: Atsushi Ito

Institution: University of Tsukuba

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414612344

FWCI:

Cites:

Cited by:

Related to: