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- W2079459223 abstract "Let $mathbb {K}$ be an algebraically closed field of characteristic $p>0$, and let $mathcal {X}$ be a curve over $mathbb {K}$ of genus $gge 2$. Assume that the automorphism group $mathrm {Aut}(mathcal {X})$ of $mathcal {X}$ over $mathbb {K}$ fixes no point of $mathcal {X}$. The following result is proven. If there is a point $P$ on $mathcal {X}$ whose stabilizer in $mathrm {Aut}(mathcal {X})$ contains a $p$-subgroup of order greater than $gp/(p-1)$, then $mathcal {X}$ is birationally equivalent over $mathbb {K}$ to one of the irreducible plane curves (II), (III), (IV), (V) listed in the Introduction." @default.
- W2079459223 created "2016-06-24" @default.
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- W2079459223 date "2010-11-01" @default.
- W2079459223 modified "2023-10-16" @default.
- W2079459223 title "Algebraic curves with a large non-tame automorphism group fixing no point" @default.
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- W2079459223 doi "https://doi.org/10.1090/s0002-9947-2010-05025-1" @default.
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