Abstract
Let f : X → S 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.
Original language | American English |
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Pages (from-to) | 393-450 |
Number of pages | 58 |
Journal | Israel Journal of Mathematics |
Volume | 234 |
Issue number | 1 |
DOIs | |
State | Published - 1 Oct 2019 |
Bibliographical note
Publisher Copyright:© 2019, The Hebrew University of Jerusalem.