Abelian 变数上共形束的衍生范畴与它们之间的等价性
alg-geom
2025-07-25 v4 代数几何
摘要
我们研究阿贝尔变数上共形束的衍生范畴。我们给出两个阿贝尔变数衍生范畴等价的判据。我们描述了阿贝尔变数上共形束衍生范畴的自等价群。
引用
@article{arxiv.alg-geom/9712017,
title = {Derived categories of coherent sheaves on abelian varieties and equivalences between them},
author = {Dmitri Orlov},
journal= {arXiv preprint arXiv:alg-geom/9712017},
year = {2025}
}
备注
26 pages, TeX file, published in Izvestiya: Mathematics, 66 (2002), 3, 569-594, translated by journal. The last version differs from the previous one, which is completely identical to the journal version, only by the addition of an Appendix with a proof of the statement formulated in the article as an easily provable property