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

作者：Giulietti M^*; Korchmaros G

来源：Transactions of the American Mathematical Society, 2010, 362(11): 5983-6001.

DOI：10.1090/S0002-9947-2010-05025-1

• Algebraic curves
• positive characteristic
• automorphism groups

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.

• 出版日期2010-11