Invariants of complex and p-adic origami-curves

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Invariants of complex and p-adic origami-curves
Invariants of complex and p-adic origami-curves by Karsten Kremer
English | June 23, 2010 | ISBN: 3866444826 | 88 Pages | PDF | 6 MB


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 Teichmuller curves in the moduli space of Riemann surfaces.


Invariants of complex and p-adic origami-curves

    


Invariants of complex and p-adic origami-curves
Invariants of complex and p-adic origami-curves by Karsten Kremer
English | June 23, 2010 | ISBN: 3866444826 | 88 Pages | PDF | 6 MB

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 Teichmuller curves in the moduli space of Riemann surfaces.
Different Teichmuller 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.

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Tags: Invariants, complex, origami

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