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Classification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three

Tyler J. Jarvis·William E. Lang·Nansen Petrosyan·Gretchen Rimmasch·Julie Rogers·Erin D. Summers
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Abstract

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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Tyler J. Jarvis, William E. Lang, Nansen Petrosyan, Gretchen Rimmasch, Julie Rogers, Erin D. Summers. 2005-03-12. Classification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three. https://doi.org/10.1080/00927870500274861

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