TY - JOUR
T1 - On spaces associated with invariant divisors on Galois covers of Riemann surfaces and their applications
AU - Kopeliovich, Yaacov
AU - Zemel, Shaul
N1 - Publisher Copyright:
© 2019, The Hebrew University of Jerusalem.
PY - 2019/10/1
Y1 - 2019/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85074834275&partnerID=8YFLogxK
U2 - 10.1007/s11856-019-1946-7
DO - 10.1007/s11856-019-1946-7
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85074834275
SN - 0021-2172
VL - 234
SP - 393
EP - 450
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -