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Bounds on automorphism groups of surfaces of general type with negative c_2
Abstract
Let k be an algebraically closed field of characteristic p>0, and let S be a minimal smooth projective surface of general type over k. If the second Chern class satisfies c2(S)<0, then the order of the automorphism group satisfies |Autk(S)|<2598(KS2)4, and the order of every abelian subgroup G⊂ Autk(S) satisfies |G|<81(KS2)3.
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BibTeX
@misc{zhong2026bounds,
title = {{Bounds on automorphism groups of surfaces of general type with negative c_2}},
author = {Xiaokun Zhong},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21505},
eprint = {2609.21505},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21505},
}
RIS
TY - UNPB
TI - Bounds on automorphism groups of surfaces of general type with negative c_2
AU - Xiaokun Zhong
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21505
UR - https://arxiv.org/abs/2609.21505
AB - Let k be an algebraically closed field of characteristic p>0, and let S be a minimal smooth projective surface of general type over k. If the second Chern class satisfies c_2(S)<0, then the order of the automorphism group satisfies |Aut_k(S)|<2598(K_S^2)^4, and the order of every abelian subgroup G⊂ Aut_k(S) satisfies |G|<81(K_S^2)^3.
ER -