Plain varieties

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 11 Nov 2008Embargo end date: 01 Jan 2008 Austria English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 40, pages 965-971 (issn: 0024-6093,

Copyright policy )Funded by:FWF | Solving algebraic equatio...

Authors: Bodnar, Gabor; Hauser, Herwig; Schicho, Josef; Villamayor, Orlando;

doi: 10.1112/blms/bdn078 , 10.48550/arxiv.0810.2379

arXiv: 0810.2379

Plain varieties

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Abstract

Algebraic varieties which are locally isomorphic to open subsets of affine space will be called {\em plain}. Plain varieties are smooth and rational. The converse is true for curves and surfaces, and unknown in general. It is shown that plain varieties are stable under blowup in smooth centers.

Country

Austria

Related Organizations

Austrian Academy of Sciences
Austria
Autonomous University of Madrid
Spain
University of Vienna
Austria
Johann Radon Institute for Computational and Applied Mathematics
Austria

Keywords

Mathematics - Algebraic Geometry, 14M20, FOS: Mathematics, 101001 Algebra, Algebraic Geometry (math.AG)

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