科研之友
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摘要
Let (X,H) be a normal complex projective polarized variety and E an H-semistable sheaf on X. We prove that the restriction E|C to a sufficiently positive general complete intersection curve C subset of X passing through a prescribed finite set of points S subset ofX remains semistable, provided that at each pS, the variety X is smooth and the factors of a Jordan-Holder filtration of E are locally free. As an application, we obtain a generalization of Miyaoka's generic semipositivity theorem.
- 出版日期2016-7
