Monodromy of cyclic coverings of the projective line

• 成果类型: Article
• 署名作者: Venkataramana, T. N.
• 署名单位: Tata Institute of Fundamental Research (TIFR)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-013-0477-9
• 发表日期: 2014
• 页码: 1-45
• 关键词: gassner representation; systems

摘要

We show that the image of the pure braid group under the monodromy action on the homology of a cyclic covering of degree d of the projective line is an arithmetic group provided the number of ramification points is sufficiently large compared to the degree d and the ramification degrees are co-prime to d.