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

2009/08/01 by Mike Roth, Jason Starr, Roth, Mike +1
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.0908.0096

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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