Abstract
Let be an ordinary (projective, geometrically irreducible, nonsingular) algebraic curve of genus defined over an algebraically closed field of odd characteristic . Let be the group of all automorphisms of which fix elementwise. For any solvable subgroup of we prove that . There are known curves attaining this bound up to the constant . For odd, our result improves the classical Nakajima bound and, for solvable groups , the Gunby–Smith–Yuan bound where for some positive constant .
Citation
Gábor Korchmáros. Maria Montanucci. "Ordinary algebraic curves with many automorphisms in positive characteristic." Algebra Number Theory 13 (1) 1 - 18, 2019. https://doi.org/10.2140/ant.2019.13.1
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