Weak approximation for general degree two del Pezzo surfaces
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Abstract:
We address weak approximation for certain del Pezzo surfaces defined over the function field of a curve. We study the rational connectivity of the smooth locus of degree two del Pezzo surfaces with two A1 singularities in order to prove weak approximation for degree two del Pezzo surfaces with square-free discriminant.References
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Additional Information
- Amanda Knecht
- Affiliation: Department of Mathematics, Rice University, 6100 Main Street, Houston, Texas 77005
- Address at time of publication: Department of Mathematics and Statistics, Villanova University, 800 Lancaster Avenue, Villanova, Pennsylvania 19085
- Email: amanda.knecht@villanova.edu
- Received by editor(s): January 19, 2009
- Received by editor(s) in revised form: July 22, 2011
- Published electronically: July 19, 2012
- Additional Notes: The author was supported by the National Science Foundation under Grants 0134259 and 0240058
- Communicated by: Ted Chinburg
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 801-811
- MSC (2010): Primary 14M22, 14G05
- DOI: https://doi.org/10.1090/S0002-9939-2012-11376-0
- MathSciNet review: 3003674