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A note on Torelli-type theorems for Gorenstein curves

Published 30 Mar 2016 in math.AG | (1603.09080v1)

Abstract: Using the notion of generalized divisors introduced by Hartshorne, we adapt the theory of adjoint forms to the case of Gorenstein curves. We show an infinitesimal Torelli-type theorem for vector bundles on Gorenstein curves. We also construct explicit counterexamples to the infinitesimal Torelli claim in the case of a reduced reducible Gorenstein curve.

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