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Karsten Kremer

Invariants of complex and p-adic origami-curves

AutorKremer, Karsten

VerlagKIT Scientific Publishing, Karlsruhe

ISBN9783866444829

UmfangVI, 74 S.

Veröffentlicht
am:
23.06.2010

Erscheinungs-
jahr
2010

VerfügbarkeitAktiv

Downloads:

Für Zitate bitte die folgende URL verwenden:
http://dx.doi.org/10.5445/KSP/1000015949

Abstract

Origamis (also known as square-tiled surfaces) are Riemann surfaces which are constructed by glueing together finitely many unit squares. By varying the complex structure of these squares one obtains easily accessible examples of Teichmüller curves in the moduli space of Riemann surfaces.
Different Teichmüller curves can be distinguished by several invariants, which are explicitly computed. The results are then compared to a p-adic analogue where Riemann surfaces are replaced by Mumford curves.