The Severi problem for Hirzebruch surfaces

2004/04/04 by Vsevolod Shevchishin, Shevchishin, Vsevolod · 2 citations
Mathematics · #14H10(primary) 14D05 #14H15 (secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #math.AG #msc:14D05 #msc:14H15

paper · pdf · doi:10.48550/arxiv.math/0404068

30 pages

arxiv created 2004/04/04 · openalex publication_date 2004/04/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the locus of irreducible nodal curves on a given Hirzebruch surface F_k of given linear equivalency class and genus g is irreducible.

Cited by

• On Severi varieties and Moduli spaces of curves in arbitrary characteristic
• On Severi varieties on Hirzebruch surfaces

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