Reduced invariants from cuspidal maps

We consider genus one enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to the reduced genus one invariants of the quintic threefold, providing a modular interpretation of the latter.

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Hauptverfasser: Battistella, Luca (VerfasserIn) , Carocci, Francesca (VerfasserIn) , Manolache, Cristina (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: June 24, 2020
In: Transactions of the American Mathematical Society
Year: 2020, Jahrgang: 373, Heft: 9, Pages: 6713-6756
ISSN:1088-6850
DOI:10.1090/tran/8141
Online-Zugang:Resolving-System, Volltext: https://doi.org/10.1090/tran/8141
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Verfasserangaben:Luca Battistella, Francesca Carocci, and Cristina Manolache
Beschreibung
Zusammenfassung:We consider genus one enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to the reduced genus one invariants of the quintic threefold, providing a modular interpretation of the latter.
Beschreibung:Gesehen am 26.11.2020
Beschreibung:Online Resource
ISSN:1088-6850
DOI:10.1090/tran/8141