ALGEBRAIC CURVES WITH A LARGE NON-TAME AUTOMORPHISM GROUP FIXING NO POINT

被引：14

作者：

Giulietti, M. ^{[1
]}

Korchmaros, G. ^{[2
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

[2] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 362卷 / 11期

关键词：

Algebraic curves; positive characteristic; automorphism groups; FINITE SIMPLE-GROUPS; SCHUR MULTIPLIERS; FUNCTION BODIES; FUNCTION-FIELDS; REE TYPE; P-GROUP; NUMBER;

D O I：

10.1090/S0002-9947-2010-05025-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an algebraically closed field of characteristic p > 0, and let chi be a curve over K of genus g >= 2. Assume that the automorphism group Aut(chi) of chi over K fixes no point of chi. The following result is proven. If there is a point P on chi whose stabilizer in Aut(chi) contains a p-subgroup of order greater than gp/(p - 1), then chi is birationally equivalent over K to one of the irreducible plane curves (II), (III), (IV), (V) listed in the Introduction.

引用

页码：5983 / 6001

页数：19

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