PreprintCC BY 4.0arXiv
Some Coble surfaces admit only Bertini involutions
Abstract
In this article we show that a biregular involution i : X → X defined on an unnodal Coble surface X with irreducible boundary curve {C} = |− 2 KX| is necessarily a lift of a Bertini involution. Then we show with counterexamples that the hypothesis of irreducibility of C and unnodality of X are both necessary.
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BibTeX
@misc{pieroni2026some,
title = {{Some Coble surfaces admit only Bertini involutions}},
author = {Federico Pieroni},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36072},
eprint = {2610.36072},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36072},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Some Coble surfaces admit only Bertini involutions
AU - Federico Pieroni
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36072
UR - https://arxiv.org/abs/2610.36072
AB - In this article we show that a biregular involution i : X → X defined on an unnodal Coble surface X with irreducible boundary curve {C} = |− 2 K_X| is necessarily a lift of a Bertini involution. Then we show with counterexamples that the hypothesis of irreducibility of C and unnodality of X are both necessary.
ER -