Weak approximation for low degree del pezzo surfaces

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Abstract

Let K = Func(C) be the function field of a smooth curve C. For every Del Pezzo surface S/K which is an appropriately generic, weak approximation for S holds at every place of K, i.e., for every closed point c of C. 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.

Original languageEnglish (US)
Pages (from-to)753-767
Number of pages15
JournalJournal of Algebraic Geometry
Volume21
Issue number4
DOIs
StatePublished - 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

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