Petter Andreas Bergh
Abstract
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We show that, over a local complete intersection, every possible variety is realized as the cohomological support variety of some module. Moreover, we show that the projective variety of a complete indecomposable maximal Cohen-Macaulay module is connected.
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We show that, over a local complete intersection, every possible variety is realized as the cohomological support variety of some module. Moreover, we show that the projective variety of a complete indecomposable maximal Cohen-Macaulay module is connected.
Key concepts: Variety (cybernetics), Indecomposable module, Intersection (aeronautics), Projective variety, Complete intersection, Mathematics, Pure mathematics, Computer science