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• W2795169175 abstract "Let $R=mathbb K[x,y,z]$ be a standard graded polynomial ring where $mathbb K$ is an algebraically closed field of characteristic zero. Let $M = oplus_j M_j$ be a finite length graded $R$-module. We say that $M$ has the Weak Lefschetz Property if there is a homogeneous element $L$ of degree one in $R$ such that the multiplication map $times L : M_j rightarrow M_{j+1}$ has maximal rank for every $j$. The main result of this paper is to show that if $mathcal E$ is a locally free sheaf of rank 2 on $mathbb P^2$ then the first cohomology module of $mathcal E$, $H^1_*(mathbb P^2, mathcal E)$, has the Weak Lefschetz Property." @default.
• W2795169175 created "2018-04-06" @default.
• W2795169175 creator A5008240864 @default.
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• W2795169175 date "2018-03-27" @default.
• W2795169175 modified "2023-09-27" @default.
• W2795169175 title "On the Weak Lefschetz Property for Vector Bundles on $mathbb P^2$" @default.
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