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- W2261736658 abstract "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 $Motimes_R N$ (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." @default.
- W2261736658 created "2016-06-24" @default.
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- W2261736658 date "2017-01-01" @default.
- W2261736658 modified "2023-09-24" @default.
- W2261736658 title "Cohomological Support and the Geometric Join" @default.
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- W2261736658 doi "https://doi.org/10.4171/dm/605" @default.
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