The Noether--Lefschetz Theorem Via Vanishing of Coherent Cohomology

Canadian mathematical bulletin

关键词: Noether--Lefschetz;    algebraic cycles;    Picard number;   

DOI  :  10.4153/CMB-2008-028-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We prove that for a generic hypersurface in $mathbb P^{2n+1}$ of degree atleast $2+2/n$, the $n$-th Picard number is one. The proof is algebraicin nature and follows from certain coherent cohomology vanishing.

【 授权许可】

Unknown