Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
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关于点和同义反复丛的希尔伯特方案的派生麦凯对应关系的评论
DOI：
10.1007/s00208-018-1660-5
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发表时间：
2016
影响因子：
1.4
通讯作者：
Andreas Krug
中科院分区：
文献类型：
--
作者：
Andreas Krug
研究了点在希尔伯特格式上的重言束像及其在McKay对应下的楔形幂。本文的主要观察是，使用与标准等价略有不同的派生等价大大简化了结果及其证明。作为一个应用，我们得到了已知结果的更短证明和同调不变量的新公式。特别地，我们计算了曲面上与线束相关的重言束的楔形幂之间的可拓群。
We study the images of tautological bundles on Hilbert schemes of points on surfaces and their wedge powers under the derived McKay correspondence. The main observation of the paper is that using a derived equivalence differing slightly from the standard one considerably simplifies both the results and their proofs. As an application, we obtain shorter proofs for known results as well as new formulae for homological invariants of tautological sheaves. In particular, we compute the extension groups between wedge powers of tautological bundles associated to line bundles on the surface.
关于恩里克斯曲面上点的希尔伯特方案的派生范畴
DOI：
10.1007/s00029-015-0178-x
发表时间：
2015
期刊：
Selecta Mathematica
影响因子：
--
作者：
Andreas Krug (with P. Sosna)
通讯作者：
Andreas Krug (with P. Sosna)
曲面上两点希尔伯特方案上同义反复丛的稳定性
影响因子：
0.8
作者：
M. Wandel
通讯作者：
M. Wandel