某些奇异复空间的L2 d-bar上同调群
复变函数
2011-07-12 v2
摘要
设X是C^N中一个纯n维（n>1）的复解析集，在0处有一个孤立奇点。本文中，我们利用解消数据表达了奇点足够小去心邻域的所有q（0<q<n+1）的L2-(0,q)-d-bar-上同调群。当X是紧致复空间或具有有限多个孤立奇点的约化复空间中的开相对紧复解析子集时，我们还用解消数据得到了X光滑点的L2-(0,q)-d-bar-上同调群的等同。
引用
@article{arxiv.1101.1860,
title = {L2 d-bar cohomology groups of some singular complex spaces},
author = {Nils Ovrelid and Sophia Vassiliadou},
journal= {arXiv preprint arXiv:1101.1860},
year = {2011}
}
备注
v2:revised and expanded; dropped irreducibility condition on Theorems 1.1 and 1.2, added a lemma to make the proof of Corollary 1.5 more self-contained, added Corollary 1.6 and a new section to treat the case q=n and elaborated on the vanishing or not of H^{0,dim_x X-1}_{(2)}(U') in the last example of section 7.1