Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

Veech groups of flat structures on Riemann surfaces

View through CrossRef
In this paper, we construct new examples of Veech groups by extending Schmithüsen’s method for calculating Veech groups of origamis to Veech groups of unramified finite coverings of regular 2 n 2n -gons. We calculate the Veech groups of certain Abelian coverings of regular 2 n 2n -gons by using an algebraic method.
American Mathematical Society
Title: Veech groups of flat structures on Riemann surfaces
Description:
In this paper, we construct new examples of Veech groups by extending Schmithüsen’s method for calculating Veech groups of origamis to Veech groups of unramified finite coverings of regular 2 n 2n -gons.
We calculate the Veech groups of certain Abelian coverings of regular 2 n 2n -gons by using an algebraic method.

Related Results

Constantes de Siegel-Veech et volumes de strates d'espaces de modules de différentielles quadratiques
Constantes de Siegel-Veech et volumes de strates d'espaces de modules de différentielles quadratiques
Nous étudions les constantes de Siegel–Veech pour les surfaces plates et leurs liens avec les volumes de strates d'espaces de modules de différentielles quadratiques. Les constante...
Veech surfaces and complete periodicity in genus two
Veech surfaces and complete periodicity in genus two
We present several results pertaining to Veech surfaces and completely periodic translation surfaces in genus two. A translation surface is a pair ...
The Generalized Riemann Integral
The Generalized Riemann Integral
Riemann integration theory integrates functions on a bounded interval  as a Riemann sum approach (integral) where the fineness of the partitions is controlled by a number (norm) of...
A topological proof of the Riemann–Hurwitz formula
A topological proof of the Riemann–Hurwitz formula
The Riemann–Hurwitz formula is generally given as a result from algebraic geometry that provides a means of constraining branched covers of surfaces via their Euler characteristic....
Progress in Surface Theory
Progress in Surface Theory
The workshop Progress in Surface Theory , organised by Uwe Abresch (Bochum), Josef Dorfmeister (München), and Masaaki Umehara (Osaka) was he...
Log-Riemann surfaces and Liouville Towers
Log-Riemann surfaces and Liouville Towers
Log-surfaces de Riemann et Tours de Liouville Dans cette thèse, nous étudions géométriquement certaines classes de fonctions par l'étude des log-surfaces de Riemann...
Dynamics of number expansions and translation surfaces
Dynamics of number expansions and translation surfaces
This thesis uses dynamical systems to study two types of objects: number expansions (Chapters 1 and 2) and translation surfaces (Chapter 3). Our first chapter builds a broad, uni...
Monodromías geométricas en familias de curvas de género 4
Monodromías geométricas en familias de curvas de género 4
The goal of the thesis is the effective computation of the geometric monodromy, equivalently the monodromy in the fundamental group, for families of compact connected Riemann surfa...

Back to Top