Reflexive modules over curve singularities

Abstract: A finitely generated module $M$ over a commutative ring $R$ is called reflexive if the natural map from $M$ to $M^{**} = Hom(Hom(M,R), R)$ is an isomorphism. In understanding reflexive modules, the case of dimension one is crucial. If $R$ is Gorenstein, then any maximal Cohen-Macaulay module is reflexive, but in general it is quite hard to understand reflexive modules even over well-studied one-dimensional singularities. In this work, joint with Sarasij Maitra and Prashanth Sridhar, we will address this problem and give some partial answers.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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