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Degenerations of Rationally Connected Varieties

2006/06/27 by Amit Hogadi, Chenyang Xu, Hogadi, Amit +1
Mathematics · #14G27(Secondary) #14J26 #14J45(Primary)14E30 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14J26

paper · pdf · doi:10.48550/arxiv.math/0606666

Final version. 22 pages. To appear in Tran. AMS

openalex publication_date 2006/06/27 · arxiv created 2008/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a degeneration rationally connected varieties over a field of characteristic zero always contains a geometrically irreducible subvariety which is rationally connected.

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