### Generalisation of the tetragonal construction

Lange, H *(Erlangen)*

Thursday 21 April 2011, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

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.

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