Exceptional and rigid sheaves on surfaces with anticanonical class without base components
Exceptional and rigid sheaves on surfaces with anticanonical class without base components
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表面上具有异常且刚性的滑轮，具有反规范等级，无需基础组件
DOI：
10.1007/bf02355112
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发表时间：
1995
影响因子：
--
通讯作者：
S. Kuleshov
中科院分区：
文献类型：
--
作者：
S. Kuleshov
本文共分三个部分。首先讨论了系统的各种稳定性，特别是引入了关于nef因子的稳定性概念。研究了无基分量和正平方的具有nef反正则类的光滑射影曲面上的刚性和超刚性向量丛的结构。我们证明了任何超刚性丛都有一个例外的过滤。在最后一部分中，我们从前两部分的结果出发，给出了特殊丛在指定曲面上的可构造刻画。
This paper consists of three parts. In the first different kinds stability are discussed, in particular, the concept of stability with respect to nef divisor is introduced. The structure of rigid and superrigid vector bundles on smooth projective surfaces with nef anticanonical class without base components and a positive square is studied. We prove that any superrigid bundle has an exceptional filtration. In the last part we give a constructible description of exceptional bundles on the indicated surfaces proceeding from the results of the first two parts.