Following Mumford and Chiodo, we compute the Chern character of the derived pushforward (Formula presented.), for (Formula presented.) 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.
Pullbacks of universal Brill–Noether classes via Abel–Jacobi morphisms / Pagani N.; Ricolfi A.T.; van Zelm J.. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 293:11(2020), pp. 2187-2207. [10.1002/mana.201800422]
Pullbacks of universal Brill–Noether classes via Abel–Jacobi morphisms
Ricolfi A. T.;
2020
Abstract
Following Mumford and Chiodo, we compute the Chern character of the derived pushforward (Formula presented.), for (Formula presented.) 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.| File | Dimensione | Formato | |
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