12 Maggio 2022 14:00 CEST Aula seminari & WebEx online
Andreas Krug Leibniz Universität Hannover

Compactified Jacobians of non-integral curves and Lagrangian fibrations

Abstract. I report on joint work in progress with Adam Czaplinski, Manfred Lehn, and Sönke Rollenske. We describe moduli spaces of stable sheaves, which are generically line bundles, on a certain class of non-integral curves, which we call extended ADE curves. This class generalises the non-integral fibres of elliptic fibrations. The main motivation is that our moduli spaces occur as general singular fibres of Lagrangian fibrations.

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