Classification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three

Details Classification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three Classification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three

2004-10-15

arxiv.org/abs/math/0410360v2

Communications in Algebra 33: 4533--4566 (2005)

Mathematics

Algebraic Geometry

40 Pages. Minor typos corrected

Scientific paper

10.1080/00927870500274861

We determine and list all possible configurations of singular fibres on
rational elliptic surfaces in characteristic three. In total, we find that 267
distinct configurations exist. This result complements Miranda and Persson's
classification in characteristic zero, and Lang's classification in
characteristic two.

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