Automorphisms of Minimal Surfaces of General Type with $K_S^2 = 1$, $p_g = 2$

David Wen

Automorphisms of Minimal Surfaces of General Type with $K_S^2 = 1$, $p_g = 2$

Algebraic Geometry 2021-01-27 v1

Authors: David Wen

Abstract

We classify the automorphism group of minimal surfaces of general type with $K_S^2 = 1$ and $\rho_g = 2$ . Furthermore, we show that the order of the automorphism group is bounded above by 200 and can only have prime factors $p \leq 31$ with $p \neq 29$ .

Keywords

minimal surfaces general type automorphism group algebraic surfaces plurigenus

Cite

@article{arxiv.2101.10656,
  title  = {Automorphisms of Minimal Surfaces of General Type with $K_S^2 = 1$, $p_g = 2$},
  author = {David Wen},
  journal= {arXiv preprint arXiv:2101.10656},
  year   = {2021}
}

Comments

15 pages; Comments welcome

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