Weak approximation for low degree Del Pezzo surfaces
Author:
Chenyang Xu
Journal:
J. Algebraic Geom. 21 (2012), 753767
Published electronically:
January 18, 2012
MathSciNet review:
2957695
Fulltext PDF
Abstract 
References 
Additional Information
Abstract: Let be the function field of a smooth curve . For every Del Pezzo surface which is an appropriately generic, weak approximation for holds at every place of , i.e., for every closed point of . This combines earlier work in (arXiv:0810.2597) with an analysis of weak approximation near boundary points of the parameter spaces for Del Pezzo surfaces of degrees 1 and 2.
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Additional Information
Chenyang Xu
Affiliation:
Department of Mathematics, 2380, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 021394307
Address at time of publication:
Beijing International Center of Mathematics Research, 5 Yiheyuan Road, Haidian District, Beijing 100871 China — Department of Mathematics, University of Utah, 155 South 1400 East Salt Lake City, Utah 84112
Email:
cyxu@math.mit.edu
DOI:
http://dx.doi.org/10.1090/S105639112012005906
PII:
S 10563911(2012)005906
Received by editor(s):
January 27, 2010
Received by editor(s) in revised form:
December 10, 2010, March 3, 2011, and March 14, 2011
Published electronically:
January 18, 2012
Additional Notes:
Part of the work was done during the author’s stay at the Institute for Advanced Study, which was supported by the NSF under agreement No. DMS0635607. The author was partially supported by NSF research grant No. 0969495
