Degenerations of rationally connected varieties and PAC fields

2006/02/28 by Jason Starr, Jason Michael Starr, Starr, Jason Michael
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AG #msc:14G05 #msc:14G27

paper · pdf · doi:10.48550/arxiv.math/0602649

5 pages

arxiv created 2006/02/28 · arxiv updated 2009/12/01

Abstract

A perfect PAC field containing an algebraically closed field is known to be C₁, i.e., every degeneration of a Fano complete intersection has a point. We prove that also every degeneration of a separably rationally connected variety has a point.

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