Deformation of quintic threefolds to the chordal variety
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- by Adrian Zahariuc PDF
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Abstract:
We consider a family of quintic threefolds specializing to a certain reducible threefold. We describe the space of genus zero stable morphisms to the central fiber, as defined by J. Li. As an application of a straightforward extension, we prove the existence of rigid stable maps with smooth source of arbitrary genus and sufficiently high degree to very general quintics.References
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Additional Information
- Adrian Zahariuc
- Affiliation: Harvard University, One Oxford Street, Cambridge, Massachusetts 02138
- Address at time of publication: Department of Mathematics, University of California Davis, One Shields Avenue, Davis, California 95616
- Email: azahariuc@math.ucdavis.edu
- Received by editor(s): July 22, 2016
- Received by editor(s) in revised form: December 14, 2016
- Published electronically: February 8, 2018
- Additional Notes: This work was partially supported by National Science Foundation grant DMS-1308244 Nonlinear Analysis on Sympletic, Complex Manifolds, General Relativity, and Graphs.
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 6493-6513
- MSC (2010): Primary 14H45; Secondary 05C50, 14N10, 14J32, 14D06
- DOI: https://doi.org/10.1090/tran/7154
- MathSciNet review: 3814338