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On support varieties for modules over complete intersections
Authors:Petter Andreas Bergh
Affiliation:Institutt for matematiske fag, NTNU, N-7491 Trondheim, Norway
Abstract:Let $ (A, mathfrak{m}, k)$ be a complete intersection of codimension $ c$, and let $ tilde{k}$ be the algebraic closure of $ k$. We show that every homogeneous algebraic subset of $ tilde{k}^c$ is the cohomological support variety of an $ A$-module, and that the projective variety of a complete indecomposable maximal Cohen-Macaulay $ A$-module is connected.

Keywords:Complete intersections   support varieties.
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