Geodesic
Cohomological Support and the Geometric Join
Documenta mathematica, Tome 22 (2017), pp. 1593-1614
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Let M,N be finitely generated modules over a local complete intersection R. Assume that all the modules ToriR​(M,N) are zero for i>0. We prove that the cohomological support of M⊗R​N (in the sense of Avramov-Buchweitz) is equal to the geometric join of the cohomological supports of M,N. This result gives a new connection between two active areas or research, and immediately produces several interesting corollaries. Naturally, it also raises many intriguing new questions about the homological properties of modules over a complete intersection, some of which are investigated in this work.
DOI : 10.4171/dm/605
Classification : 13D07
Mots-clés : cohomological support 
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     title = {Cohomological {Support} and the {Geometric} {Join}},
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William T. Sanders; Hailong Dao. Cohomological Support and the Geometric Join. Documenta mathematica, Tome 22 (2017), pp. 1593-1614. doi: 10.4171/dm/605

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