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arXiv · 2109.03545

Counting Twisted Tame Fourier-Mukai Partners of an Ordinary K3 Surface

Tanya Kaushal Srivastava·Sofia Tirabassi
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Abstract

In this article, we prove that a tame twisted K3 surface over an algebraically closed field of positive characteristic has only finitely many tame twisted Fourier-Mukai partners and we give a counting formula in case we have an ordinary tame untwisted K3 surface. We also show that every tame twisted Fourier Mukai partner of a K3 surface of finite height is a moduli space of twisted sheaves over it.

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Tanya Kaushal Srivastava, Sofia Tirabassi. 2021-09-08. Counting Twisted Tame Fourier-Mukai Partners of an Ordinary K3 Surface. https://arxiv.org/abs/2109.03545

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