A remark on some punctual Quot schemes on smooth projective curves

2025/04/02 by Ito, Atsushi
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.01335

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 note, we show that the punctual Quot scheme is a ℚ-factorial Fano variety of Picard number one.

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