A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
Consider a finite group G acting on a Riemann surface S, and the associated branched Galois cover π G : S → Y = S/G. We introduce the concept of geometric signature for the action of G, and we show that it captures much information: the geometric structure of the lattice of intermediate covers, the isotypical decomposition of the rational representation of the group G acting on the Jacobian variety JS of S, and the dimension of the subvarieties of the isogeny decomposition of JS. We also give adoi:10.4171/rmi/500 fatcat:7ky2q3orfnbyrnvcejmjts5oda