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URN: urn:nbn:de:swb:90-252528

The Galois action on Origami curves and a special class of Origamis

Nisbach, Florian

Origamis are covers of elliptic curves, ramified over at most one point. As they admit a flat atlas, they induce Teichmüller curves in the corresponding moduli spaces of curves. We compare geometric and arithmetic properties of these objects and study in detail a construction given by M. Möller which associates an Origami to a Belyi morphism. This leads to new examples, such as Galois orbits of Origami curves, and an infinite series of non-characteristic Origamis with Veech group SL(2,Z).

Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Hochschulschrift
Jahr 2011
Sprache Englisch
Identifikator KITopen-ID: 1000025252
Verlag Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Algebra und Geometrie (IAG)
Prüfungsdaten 11.07.2011
Referent/Betreuer Prof. G. Weitze-Schmithüsen
Schlagworte flat surface; Teichmüller curve; moduli space; Belyi morphism; Galois action
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