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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| Format: | Online |
| Idioma: | anglès |
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KIT Scientific Publishing
2021
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| Accés en línia: | 34943 |
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| _version_ | 1869520607386796032 |
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| author | Kremer, Karsten |
| author_browse | Kremer, Karsten |
| author_facet | Kremer, Karsten |
| author_sort | Kremer, Karsten |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-50617 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-506172023-12-20T18:40:34Z Invariants of complex and p-adic origami-curves Kremer, Karsten QA1-939 moduli space Teichmüller curves translation surfaces Mumford curves p-adic Schottky groups bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T16:39:01Z 2021-02-11T16:39:01Z 2019-07-30 20:01:59 2010 book 34943 9783866444829 https://directory.doabooks.org/handle/20.500.12854/50617 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.ksp.kit.edu/9783866444829 KIT Scientific Publishing 10.5445/KSP/1000015949 10.5445/KSP/1000015949 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783866444829 VI, 74 p. open access |
| spellingShingle | QA1-939 moduli space Teichmüller curves translation surfaces Mumford curves p-adic Schottky groups bic Book Industry Communication::P Mathematics & science Kremer, Karsten Invariants of complex and p-adic origami-curves |
| 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_short | Invariants of complex and p-adic origami-curves |
| title_sort | invariants of complex and p adic origami curves |
| topic | QA1-939 moduli space Teichmüller curves translation surfaces Mumford curves p-adic Schottky groups bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 moduli space Teichmüller curves translation surfaces Mumford curves p-adic Schottky groups bic Book Industry Communication::P Mathematics & science |
| url | 34943 |
| work_keys_str_mv | AT kremerkarsten invariantsofcomplexandpadicorigamicurves |