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Generalisation of the tetragonal construction

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Moduli Spaces

The Donagi conjecture states that the Prym map is injective at a double cover of a curve if the curve does not admit a morphism of degree less or equal to 4 onto the projective line. The talk focusses on 2 subjects, I will explain why the existing proofs of the tetragonal construction do not generalize and then outline the proof of a generalization which give counterexamples to the conjecture. This is joint work with Elham Izadi.

This talk is part of the Isaac Newton Institute Seminar Series series.

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