%0 Journal Article
%T A Property Of Local Cohomology Modules Of Polynomial Rings
%A Yi Zhang
%J Mathematics
%D 2010
%I arXiv
%X Let $R=k[x_1,..., x_n]$ be a polynomial ring over a field $k$ of characteristic $p>0,$ and let $I=(f_1,...,f_s)$ be an ideal of $R.$ We prove that every associated prime $P$ of $H^i_I(R)$ satisfies $\text{dim}R/P\geqslant n-\sum\text{deg}f_i.$ In characteristic 0 the question is open.
%U http://arxiv.org/abs/1001.3363v1