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

David Wen

paper

Automorphisms of Minimal Surfaces of General Type with $K_{S}^{2} = 1$ , $p_{g} = 2$

arXiv:2101.10656

Abstract

We classify the automorphism group of minimal surfaces of general type with $K_{S}^{2} = 1$ and $ρ_{g} = 2$ . 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 $p \neq = 29$ .

15 pages; Comments welcome

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Automorphisms of Minimal Surfaces of General Type with $K_{S}^{2} = 1$ , $p_{g} = 2$