Can I read Cohomological Support and the Geometric Join on EtoBox?

Cohomological Support and the Geometric Join by Dao, Hailong; Sanders, William is a scholarly article available to read on EtoBox.

What is Cohomological Support and the Geometric Join about?

Let $M,N$ be finitely generated modules over a local complete intersection $R$. Assume that for each $i>0$, $\mathrm{Tor}^R_i(M,N)=0$. We prove that the cohomological support of $M\otimes_R N$ (in the sense of Avramov-Buchweitz) is equal to the geometric join of the cohomological supports of $M,N$. Such result gives a new connection between two active areas or research, and immediately produces several surprising corollaries. Naturally, it also raises many intriguing new questions about the homological properties of modules over a complete intersection, some of those are investigated in the second half of this note.

Author

Dao, Hailong; Sanders, William

Published

2016

Language

EN