Invariants of complex and p-adic origami-curves

By Karsten Kremer

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.

• Format: Paperback
• Language: English
• ISBN: 3866444826
• ISBN13: 9783866444829
• Release Date: June 2010
• Publisher: Karlsruher Institut Fur Technologie
• Length: 86 Pages
• Weight: 0.25 lbs.
• Dimensions: 0.2" x 5.8" x 8.3"