Following Mumford and Chiodo, we compute the Chern character of the derived pushforwardch(R center dot pi*O(D)), forDan 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.
Pullbacks of universal Brill-Noether classes via Abel-Jacobi morphisms / Pagani, N.; Ricolfi, A. T.; van Zelm, J.. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 293:11(2020), pp. 2187-2207. [10.1002/mana.201800422]
Pullbacks of universal Brill-Noether classes via Abel-Jacobi morphisms
Pagani, N.;Ricolfi, A. T.Writing – Original Draft Preparation
;
2020-01-01
Abstract
Following Mumford and Chiodo, we compute the Chern character of the derived pushforwardch(R center dot pi*O(D)), forDan 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.| File | Dimensione | Formato | |
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7. Pullbacks of universal Brill noether classes.pdf
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