双矩图上的定向上同调层
代数几何
2019-03-27 v3
摘要
在本文中，我们将Braden-MacPherson和Fiebig所建立的矩图上层理论推广到任意定向等变上同调h（例如代数协边）的语境中。我们引入并研究了双矩图上的结构h-层，以描述旗簇乘积的等变定向上同调。我们证明了在A型Dynkin全旗簇X的情形下，双结构h-层的全局截面空间也描述了X的等变h-动子的自同态环。
引用
@article{arxiv.1710.10275,
title = {Oriented cohomology sheaves on double moment graphs},
author = {Rostislav Devyatov and Martina Lanini and Kirill Zainoulline},
journal= {arXiv preprint arXiv:1710.10275},
year = {2019}
}
备注
37 pages; The structure of the paper is revised. It now starts with exposition on equivariant cohomology, then introduces the double moment graphs, provides examples of closed graphs. The proof of the main result and its applications form the second part of the paper. Several proofs are simplified and shortened