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arXiv · 1605.07111

The descent of twisted perfect complexes on a space with soft structure sheaf

Zhaoting Wei
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Abstract

In this paper we study the dg-category of twisted perfect complexes on a ringed space with soft structure sheaf. We prove that this dg-category is quasi-equivalent to the dg-category of complexes of vector bundles on that space. This result could be considered as a dg-enhancement of the classic result on soft sheaves in SGA6.

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Zhaoting Wei. 2016-05-23. The descent of twisted perfect complexes on a space with soft structure sheaf. https://arxiv.org/abs/1605.07111

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