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arXiv · 1603.09080

A note on Torelli-type theorems for Gorenstein curves

Luca Rizzi·Francesco Zucconi
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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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Luca Rizzi, Francesco Zucconi. 2016-03-30. A note on Torelli-type theorems for Gorenstein curves. https://arxiv.org/abs/1603.09080

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