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

DOI10.1002/mana.201800422arXiv1809.10668OpenAlexW2892615518MaRDI QIDQ6057372

Nicola Pagani, Andrea T. Ricolfi, Jason van Zelm

Publication date: 4 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10668

zbMATH Keywords

Brill-Noether theorydouble ramification cycletautological classescompactified universal Jacobian

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (1)

admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves

Cites Work

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• The Picard groups of the moduli spaces of curves
• The second homology group of the mapping class group of an orientable surface
• Constructions of nontautological classes on moduli spaces of curves.
• Extensions of the universal theta divisor
• Relative maps and tautological classes
• Extending the double ramification cycle using Jacobians
• Double ramification cycles on the moduli spaces of curves
• Towards an enumerative geometry of the moduli space of twisted curves and rth roots
• EXTENDING THE DOUBLE RAMIFICATION CYCLE BY RESOLVING THE ABEL-JACOBI MAP
• The stability space of compactified universal Jacobians
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures

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