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arxiv: math/0104134 · v2 · submitted 2001-04-12 · 🧮 math.AG

A note on del Pezzo fibrations of degree 1

classification 🧮 math.AG
keywords degreepezzofibrationssingularitiesterminalbirationalclassificationconnection
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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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