Reduced invariants from cuspidal maps
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- by Luca Battistella, Francesca Carocci and Cristina Manolache PDF
- Trans. Amer. Math. Soc. 373 (2020), 6713-6756 Request permission
Abstract:
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.References
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Additional Information
- Luca Battistella
- Affiliation: Mathematisches Institut, Ruprecht-Karls-Universität Heidelberg, Germany
- Email: lbattistella@mathi.uni-heidelberg.de
- Francesca Carocci
- Affiliation: School of Mathematics, University of Edinburgh, Scotland
- Email: Francesca.Carocci@ed.ac.uk
- Cristina Manolache
- Affiliation: School of Mathematics and Statistics, University of Sheffield, United Kingdom
- MR Author ID: 818812
- Email: C.Manolache@shef.ac.uk
- Received by editor(s): April 7, 2018
- Received by editor(s) in revised form: February 10, 2020
- Published electronically: June 24, 2020
- Additional Notes: The first author was supported by a Royal Society 1st Year URF and DHF Research Grant Scheme.
The third author was supported by an EPSRC funded Royal Society Dorothy Hodgkin Fellowship.
This work was supported by the Engineering and Physical Sciences Research Council grant EP/L015234/1: the EPSRC Centre for Doctoral Training in Geometry and Number Theory at the Interface. - © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 373 (2020), 6713-6756
- MSC (2010): Primary 14N35
- DOI: https://doi.org/10.1090/tran/8141
- MathSciNet review: 4155189