Veech Groups and Translation Coverings
A translation surface is obtained by taking plane polygons and gluing their edges by translations. We ask which subgroups of the Veech group of a primitive translation surface can be realised via a translation covering. For many primitive surfaces we prove that partition stabilising congruence subgr...
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| Format: | Book Chapter |
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KIT Scientific Publishing
2013
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| Online Access: | Get Fullteks DOAB: description of the publication |
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| LEADER | 01695naaaa2200337uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_61886 | ||
| 005 | 20210212 | ||
| 020 | |a KSP/1000038927 | ||
| 020 | |a 9783731501800 | ||
| 024 | 7 | |a 10.5445/KSP/1000038927 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 100 | 1 | |a Finster, Myriam |4 auth | |
| 245 | 1 | 0 | |a Veech Groups and Translation Coverings |
| 260 | |b KIT Scientific Publishing |c 2013 | ||
| 300 | |a 1 electronic resource (X, 136 p. p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a A translation surface is obtained by taking plane polygons and gluing their edges by translations. We ask which subgroups of the Veech group of a primitive translation surface can be realised via a translation covering. For many primitive surfaces we prove that partition stabilising congruence subgroups are the Veech group of a covering surface. We also address the coverings via their monodromy groups and present examples of cyclic coverings in short orbits, i.e. with large Veech groups. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-sa/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-sa/4.0/ | ||
| 546 | |a English | ||
| 653 | |a cyclic covering | ||
| 653 | |a monodromy group | ||
| 653 | |a Kongruenzgruppe | ||
| 653 | |a zyklische Überlagerung | ||
| 653 | |a Translationsüberlagerung | ||
| 653 | |a translation coveringVeechgruppe | ||
| 653 | |a congruence subgroup | ||
| 653 | |a Monodromiegruppe | ||
| 653 | |a Veech group | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://www.ksp.kit.edu/9783731501800 |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/61886 |7 0 |z DOAB: description of the publication |