On spaces associated with invariant divisors on Galois covers of Riemann surfaces and their applications

  • Yaacov Kopeliovich
  • Shaul ZemelEmail author


Let f : XS be a Galois cover of Riemann surfaces, with Galois group G. I. this paper we analyze the G-invariant divisors on X, and their associated spaces of meromorphic functions, differentials, and q-differentials. We generalize the trace formula for non-trivial elements of G on q-differentials, as well as the Chevalley–Weil Formula. When G is Abelian or when the genus of S is 0 we prove additional results, and we also determine the non-special G-invariant divisors when both conditions are satisfied.


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© The Hebrew University of Jerusalem 2019

Authors and Affiliations

  1. 1.Finance Department, School of BusinessUniversity of ConnecticutStorrsUSA
  2. 2.Einstein Institute of MathematicsThe Hebrew University of Jerusalem Edmund Safra CampusJerusalemIsrael

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