## “Bulletin Board”

School of Mathematics - August 15, 2006

### Lecture

#### Tameness of Local Cohomology of Monomial Ideals with Respect to Monomial Prime IdealsAhad Rahimi, Duisburg-Essen UniversityGermanyAug 31, 2006

Tameness of Local Cohomology of Monomial Ideals with Respect to Monomial Prime Ideals

Duisburg-Essen University
Germany

Abstract

Let $S=K[x_1,\dots,x_n]$ be the polynomial ring over a field $K$ and $I$ be any monomial ideal of $S$. We set $R=S/I$. Let $P$ be a monomial prime ideal in $R$. Then for all $i$ the local cohomology modules of $H^i_P(R)$ are tame. For a graded ring $R$ we call a graded $R$-module $N$ is tame, if there exists an integer $j_0$ such that $N_j=0$ for all $j\leq j_0$, or else $N_j \neq 0$ for all $j\leq j_0$.

Information:

 Date: Thursday, Aug 31, 2006, 10:00-12:00 Place: Niavaran Bldg., Niavaran Square, Tehran, Iran