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arXiv · 2003.01799

Tri-Coble surfaces and their automorphisms

John Lesieutre
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Abstract

We construct some positive entropy automorphisms of rational surfaces with no periodic curves. The surfaces in question, which we term tri-Coble surfaces, are blow-ups of the projective plane at 12 points which have contractions down to three different Coble surfaces. The automorphisms arise as compositions of lifts of Bertini involutions from certain degree 1 weak del Pezzo surfaces.

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John Lesieutre. 2020-03-03. Tri-Coble surfaces and their automorphisms. https://arxiv.org/abs/2003.01799

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