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Invariants of complex and p-adic origami-curves PDF

88 Pages·2010·6.467 MB·English
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by Karsten Kremer| 2010| 88 pages| 6.467| English

About Invariants of complex and p-adic origami-curves

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 Teichm?ller curves in the moduli space of Riemann surfaces. Different Teichm?ller 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.

Detailed Information

Author:Karsten Kremer
Publication Year:2010
ISBN:3866444826
Pages:88
Language:English
File Size:6.467
Format:PDF
Price:FREE
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