P. Schenzel

activity

20052008

most citedOn cohomologically complete intersections

2 citations · 4 across the 6 of their papers we have counts for

collaborators

Showing 2008 · math.ACShow all

3 papers · 2 filters

math.AC2008

On connectedness and indecomposibility of local cohomology modules

Peter Schenzel

Let $I$ denote an ideal of a local Gorenstein ring $(R, m)$ . Then we show that the local cohomology module $H^c_I(R), c = \height I,$ is indecomposable if and only if $V(…

math.AC2008

On endomorphism rings and dimensions of local cohomology modules

Peter Schenzel

Let $(R, m)$ denote an $n$ -dimensional complete local Gorenstein ring. For an ideal $I$ of $R$ let $H_{I}^{i} (R), i \in Z,$ denote the local cohomology modules of $R$ …

math.AC2008★ 2 cited

On cohomologically complete intersections

Michael Hellus, Peter Schenzel

An ideal $I$ of a local Gorenstein ring $(R, m)$ is called cohomologically complete intersection whenever $H_{I}^{i} (R) = 0$ for all $i \not= \height I.$ Here $H^i_I(R), i \i…