Geometric Invariants and Asymptotics of Translation Surfaces

M Reichert - 2024 - archiv.ub.uni-heidelberg.de
Indem man Polygone auf wohldefinierte Weise entlang paralleler Kanten zusammenfügt,
erhält man Translationsflächen, die zweidimensionale Mannigfaltigkeiten mit reichen …

Indiscriminate covers of infinite translation surfaces are innocent, not devious

WP Hooper, R Trevino - Ergodic Theory and Dynamical Systems, 2019 - cambridge.org
We consider the interaction between passing to finite covers and ergodic properties of the
straight-line flow on finite-area translation surfaces with infinite topological type. Infinite type …

[PDF][PDF] Families of Infinite Translation Surfaces Related to the Chamanara Surface

J Kohlmüller - 2022 - d-nb.info
The Chamanara surface, first described by Reza Chamanara in [Cha04] is one of the most
well-known examples of an infinite translation surface. Infinite translation surfaces is a …

The Heights Theorem for infinite Riemann surfaces

D Šarić - Geometriae Dedicata, 2022 - Springer
Marden and Strebel established the Heights Theorem for integrable holomorphic quadratic
differentials on parabolic Riemann surfaces. We extends the validity of the Heights Theorem …

On Veech groups of infinite superelliptic curves

CR Maluendas - arXiv preprint arXiv:2106.08395, 2021 - arxiv.org
We study infinite superelliptic curves as translation surfaces and explore their Veech groups.
These objects are branched covering of the complex plane with branching over infinitely …

[PDF][PDF] ONE NOTE ON VEECH GROUPS OF INFINITE HYPERELLIPTIC CURVES

CR MALUENDAS - researchgate.net
An infinite hyperellipctic curve is the set conformed by all couples (z, w) satisfying the
formula wm= f (z), where m≥ 2 and the map of Weierstrass f: C→ C is an entire function …

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C Reichert - 2009 - mathi.uni-heidelberg.de
Indem man Polygone auf wohldefinierte Weise entlang paralleler Kanten zusammenfügt,
erhält man Translationsflächen, die zweidimensionale Mannigfaltigkeiten mit reichen …