Exact holomorphic differentials on a quotient of the Ree curve

JOURNAL OF ALGEBRA

卷:400

Article

Dummigan, Neil¹  Farwa, Shabieh² 

[1] Univ Sheffield, Sch Math & Stat, Sheffield S3 7RH, S Yorkshire, England

[2] COMSATS Inst Informat Technol, Wah Cantt, Pakistan

关键词: Cartier operator;    Ree curve;    alpha-Number;   

DOI  :  10.1016/j.jalgebra.2013.11.016

来源: Elsevier

【 摘 要 】

We produce several families of exact holomorphic differentials on a quotient X of the Ree curve in characteristic 3, defined by X : y(q) - y = x(qo) (x(q) - x)/F-q (where q0 = 3(8), s >= 1 and q = 3q(0)(2)). We conjecture that they span the whole space of exact holomorphic differentials, and prove this in the cases s = 1 and s = 2, by calculating the kernel of the Cartier operator. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free