Abstract

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 fourdimensional 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 numbers of automorphisms. (c) 2021 Elsevier B.V. All rights reserved.