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arxiv:2004.14811
On families of Riemann surfaces with automorphisms
Published on Feb 11, 2021
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Abstract
The study finds the largest possible automorphism group orders for specific families of compact Riemann surfaces and constructs explicit examples achieving them.
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In this article we determine the maximal possible order of the automorphism group of the form ag + b, where a and b are integers, of a complex three and four-dimensional family of compact Riemann surfaces of genus g, appearing for all genus. In addition, we construct and describe explicit complex three and four-dimensional families possessing these maximal number of automorphisms.
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