A note on del Pezzo fibrations of degree 1

2001/04/12 by Jihun Park, Park, Jihun
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Rings, Modules, and Algebras #math.AG

paper · pdf · doi:10.48550/arxiv.math/0104134

10 pages, LaTex

openalex publication_date 2001/04/12 · arxiv created 2002/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study del Pezzo fibrations of degree 1 with terminal singularities. A connection between singularities on del Pezzo surfaces of degree 1 and Kodaira's classification of elliptic singular fibers will be studied in this paper. By this investigation we obtain several results on birational maps of del Pezzo fibrations of degree 1 with terminal singularities.

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