Invariants of complex and p-adic origami-curves

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 Teichmüller curves in the moduli space of Riemann surfaces.Different T...

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Kremer, Karsten
Year of Publication:2010
Language:English
Physical Description:1 electronic resource (VI, 74 p. p.)
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spelling Kremer, Karsten auth
Invariants of complex and p-adic origami-curves
KIT Scientific Publishing 2010
1 electronic resource (VI, 74 p. p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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 Teichmüller curves in the moduli space of Riemann surfaces.Different Teichmüller 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.
English
moduli space
Teichmüller curves
translation surfaces
Mumford curves
p-adic Schottky groups
3-86644-482-6
language English
format eBook
author Kremer, Karsten
spellingShingle Kremer, Karsten
Invariants of complex and p-adic origami-curves
author_facet Kremer, Karsten
author_variant k k kk
author_sort Kremer, Karsten
title Invariants of complex and p-adic origami-curves
title_full Invariants of complex and p-adic origami-curves
title_fullStr Invariants of complex and p-adic origami-curves
title_full_unstemmed Invariants of complex and p-adic origami-curves
title_auth Invariants of complex and p-adic origami-curves
title_new Invariants of complex and p-adic origami-curves
title_sort invariants of complex and p-adic origami-curves
publisher KIT Scientific Publishing
publishDate 2010
physical 1 electronic resource (VI, 74 p. p.)
isbn 1000015949
3-86644-482-6
illustrated Not Illustrated
work_keys_str_mv AT kremerkarsten invariantsofcomplexandpadicorigamicurves
status_str n
ids_txt_mv (CKB)4920000000101350
(oapen)https://directory.doabooks.org/handle/20.500.12854/50617
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carrierType_str_mv cr
is_hierarchy_title Invariants of complex and p-adic origami-curves
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