Pullbacks of universal Brill–Noether classes via Abel–Jacobi morphisms

Nicola Pagani, Andrea T. Ricolfi and Jason van Zelm

Mathematische Nachrichten, 2020, vol. 293, issue 11, 2187-2207

Abstract: Following Mumford and Chiodo, we compute the Chern character of the derived pushforward ch(R•π*O(D)), for D an arbitrary element of the Picard group of the universal curve over the moduli stack of stable marked curves. This allows us to express the pullback of universal Brill–Noether classes via Abel–Jacobi sections to the compactified universal Jacobians, for all compactifications such that the section is a well‐defined morphism.

Date: 2020
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https://doi.org/10.1002/mana.201800422

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