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arXiv · 2204.01762

Restriction theorems for semistable sheaves

Mihai Pavel
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Abstract

In this paper we prove restriction theorems for torsion-free sheaves that are (semi)stable with respect to the truncated Hilbert polynomial over a smooth projective variety. Our results apply in particular to Gieseker-semistable sheaves and generalize the well-known restriction theorems of Mehta and Ramanathan. As an application we construct a moduli space of sheaves in higher dimensions.

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Mihai Pavel. 2022-04-04. Restriction theorems for semistable sheaves. https://arxiv.org/abs/2204.01762

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