Limits of canonical forms on towers of Riemann surfaces
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Dokumenter
- OA-Limits of canonical forms on towers of Riemann surfaces
Forlagets udgivne version, 298 KB, PDF-dokument
We prove a generalized version of Kazhdan's theorem for canonical forms on Riemann surfaces. In the classical version, one starts with an ascending sequence { S n → S } of finite Galois covers of a hyperbolic Riemann surface S, converging to the universal cover. The theorem states that the sequence of forms on S inherited from the canonical forms on S n 's converges uniformly to (a multiple of) the hyperbolic form. We prove a generalized version of this theorem, where the universal cover is replaced with any infinite Galois cover. Along the way, we also prove a Gauss-Bonnet-type theorem in the context of arbitrary infinite Galois covers.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Journal fur die Reine und Angewandte Mathematik |
Vol/bind | 764 |
Sider (fra-til) | 287-304 |
ISSN | 0075-4102 |
DOI | |
Status | Udgivet - 2020 |
Antal downloads er baseret på statistik fra Google Scholar og www.ku.dk
ID: 223822901