A note on Torelli†type theorems for Gorenstein curves

Luca Rizzi and Francesco Zucconi

Mathematische Nachrichten, 2017, vol. 290, issue 17-18, 3006-3019

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

Date: 2017
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