Tri-coble surfaces and their automorphisms

John Lesieutre

doi:10.3934/jmd.2021008

Tri-coble surfaces and their automorphisms

John Lesieutre

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 P² 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.

Original language	English (US)
Pages (from-to)	267-284
Number of pages	18
Journal	Journal of Modern Dynamics
Volume	17
DOIs	https://doi.org/10.3934/jmd.2021008
State	Published - 2021

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

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10.3934/jmd.2021008

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title = "Tri-coble surfaces and their automorphisms",

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 P2 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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AB - 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 P2 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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DO - 10.3934/jmd.2021008

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VL - 17

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JO - Journal of Modern Dynamics

JF - Journal of Modern Dynamics

ER -

Tri-coble surfaces and their automorphisms

Abstract

All Science Journal Classification (ASJC) codes

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