摘要翻译:
我们证实了Beauville的猜想,即如果光滑射影簇的切丛的p次外幂包含一个充足线丛的p次幂,则该簇要么是射影空间,要么是p维二次超曲面。
---
英文标题:
《Cohomological characterizations of projective spaces and hyperquadrics》
---
作者:
Carolina Araujo, St\'ephane Druel, S\'andor J. Kov\'acs
---
最新提交年份:
2007
---
分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
---
英文摘要:
We confirm Beauville's conjecture that claims that if the p-th exterior power of the tangent bundle of a smooth projective variety contains the p-th power of an ample line bundle, then the variety is either the projective space or the p-dimensional quadric hypersurface.
---
PDF链接:
https://arxiv.org/pdf/0707.4310