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arXiv · 2002.07961

Reconstruction of projective curves from the derived category

Dylan Spence
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Abstract

We prove that integral projective curves with Cohen-Macaulay singularities over an algebraically closed field of characteristic zero are determined by their triangulated category of perfect complexes.This partially extends a theorem of Bondal and Orlov to the case of singular projective varieties, and in particular shows that all integral complex projective curves are determined by their category of perfect complexes

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Dylan Spence. 2020-02-19. Reconstruction of projective curves from the derived category. https://arxiv.org/abs/2002.07961

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