Higher obstructions to deforming cohomology groups of line bundles
Higher obstructions to deforming cohomology groups of line bundles
复制标题
对线丛变形上同调群的阻碍更大
DOI：
10.1090/s0894-0347-1991-1076513-1
复制
发表时间：
1991
影响因子：
3.9
通讯作者：
R. Lazarsfeld
中科院分区：
文献类型：
--
作者：
M. Green;R. Lazarsfeld
我们的目的是研究紧致Kahler流形上拓扑平凡全纯线丛的上同调性质。(关于我们先前在这一主题上的工作，见[GLL，GL2]。)设M是紧连通的Kahler流形，像往常一样，Pico(M)表示M上拓扑平凡的全纯线丛的复环面参量化同构类.我们对由下式定义的解析子簇Si(M)，S~(M)~Pico(M)感兴趣
Our purpose is to study the cohomological properties of topologically trivial holomorphic line bundles on a compact Kahler manifold. (See [GLl, GL2] for our prior work on this topic.) Let M be a compact connected Kahler manifold and, as usual, let Pico(M) denote the complex torus parametrizing isomorphism classes of topologically trivial holomorphic line bundles on M. We are interested in the analytic subvarieties Si(M) , S~(M) ~ Pico(M) defined by