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...
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| Format: | Electronic Book Chapter |
| Language: | English |
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KIT Scientific Publishing
2010
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| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| 020 | |a 9783866444829 | ||
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| 024 | 7 | |a 10.5445/KSP/1000015949 |c doi | |
| 041 | 0 | |a eng | |
| 042 | |a dc | ||
| 100 | 1 | |a Kremer, Karsten |4 auth | |
| 245 | 1 | 0 | |a Invariants of complex and p-adic origami-curves |
| 260 | |b KIT Scientific Publishing |c 2010 | ||
| 300 | |a 1 electronic resource (VI, 74 p. p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 653 | |a moduli space | ||
| 653 | |a Teichmüller curves | ||
| 653 | |a translation surfaces | ||
| 653 | |a Mumford curves | ||
| 653 | |a p-adic Schottky groups | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://www.ksp.kit.edu/9783866444829 |7 0 |z DOAB: download the publication |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/50617 |7 0 |z DOAB: description of the publication |