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A local-global principle for weak approximation on varieties over function fields

Authors
  • Roth, Mike
  • Starr, Jason Michael
Type
Preprint
Publication Date
Sep 04, 2009
Submission Date
Aug 01, 2009
Source
arXiv
License
Yellow
External links

Abstract

We present a new perspective on the weak approximation conjecture of Hassett and Tschinkel: formal sections of a rationally connected fibration over a curve can be approximated to arbitrary order by regular sections. The new approach involves the study of how ideal sheaves pullback to Cartier divisors.

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