Published July 9, 2019
| Accepted Version
Journal Article
Open
Local Gromov-Witten invariants are log invariants
- Creators
- van Garrel, Michel
- Graber, Tom
- Ruddat, Helge
Chicago
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Abstract
We prove a simple equivalence between the virtual count of rational curves in the total space of an anti-nef line bundle and the virtual count of rational curves maximally tangent to a smooth section of the dual line bundle. We conjecture a generalization to direct sums of line bundles.
Additional Information
© 2019 Elsevier. Received 8 March 2018, Revised 4 February 2019, Accepted 22 April 2019, Available online 9 May 2019. Communicated by Tony Pantev. This work was supported by HR's Deutsche Forschungsgemeinschaft Emmy-Noether grant RU1629/4-1. We are grateful to Dan Abramovich, Mark Gross, Davesh Maulik, Rahul Pandharipande and James Pascaleff for helpful and inspiring discussions, and to the anonymous referee for valuable suggestions.Attached Files
Accepted Version - 1712.05210.pdf
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1712.05210.pdf
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Additional details
- Eprint ID
- 95391
- Resolver ID
- CaltechAUTHORS:20190510-105529171
- Deutsche Forschungsgemeinschaft (DFG)
- RU1629/4-1
- Created
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2019-05-10Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field