Strong rational connectedness of surfaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2012Embargo end date: 01 Oct 2008 United States Publisher:Walter de Gruyter GmbHJournal:Journal für die reine und angewandte Mathematik (Crelles Journal), volume 2,012 (issn: 0075-4102, eissn: 1435-5345,

Copyright policy )Funded by:NSF | Basic Research in Mathema...

Authors: Xu, Chenyang;

doi: 10.1515/crelle.2011.108 , 10.48550/arxiv.0810.2597

arXiv: 0810.2597

handle: 1721.1/109032

Strong rational connectedness of surfaces

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Abstract

We discuss the strong rational connectedness of smooth rationally connected surfaces. We prove in lots of cases, including the smooth locus of a log del Pezzo surface, the rational connectedness indeed implies the strong rational conectedness. This confirms a conjecture due to Hassett and Tschinkel in \cite{ht08}.

Typos corrected

Country

United States

Related Organizations

Massachusetts Institute of Technology
United States
Institute for Advanced Study
United States

Keywords

Mathematics - Algebraic Geometry, strong rational connectedness, Rational and ruled surfaces, 14J26, 14J45, Rationally connected varieties, FOS: Mathematics, log del Pezzo surface, Algebraic Geometry (math.AG)

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NSF| Basic Research in Mathematics