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...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Online |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
KIT Scientific Publishing
2021
|
| Θέματα: | |
| Διαθέσιμο Online: | 34872 |
| Ετικέτες: |
Δεν υπάρχουν, Καταχωρήστε ετικέτα πρώτοι!
|
| _version_ | 1869519638950313984 |
|---|---|
| author | Finster, Myriam |
| author_browse | Finster, Myriam |
| author_facet | Finster, Myriam |
| author_sort | Finster, Myriam |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-61886 |
| 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-618862023-12-20T18:40:34Z Veech Groups and Translation Coverings Finster, Myriam QA1-939 cyclic covering monodromy group Kongruenzgruppe zyklische Überlagerung Translationsüberlagerung translation coveringVeechgruppe congruence subgroup Monodromiegruppe Veech group bic Book Industry Communication::P Mathematics & science 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. 2021-02-12T07:24:46Z 2021-02-12T07:24:46Z 2019-07-30 20:01:59 2013 book 34872 9783731501800 https://directory.doabooks.org/handle/20.500.12854/61886 eng image/jpeg Attribution-ShareAlike 4.0 International https://www.ksp.kit.edu/9783731501800 KIT Scientific Publishing 10.5445/KSP/1000038927 10.5445/KSP/1000038927 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731501800 X, 136 p. open access |
| spellingShingle | QA1-939 cyclic covering monodromy group Kongruenzgruppe zyklische Überlagerung Translationsüberlagerung translation coveringVeechgruppe congruence subgroup Monodromiegruppe Veech group bic Book Industry Communication::P Mathematics & science Finster, Myriam Veech Groups and Translation Coverings |
| title | Veech Groups and Translation Coverings |
| title_full | Veech Groups and Translation Coverings |
| title_fullStr | Veech Groups and Translation Coverings |
| title_full_unstemmed | Veech Groups and Translation Coverings |
| title_short | Veech Groups and Translation Coverings |
| title_sort | veech groups and translation coverings |
| topic | QA1-939 cyclic covering monodromy group Kongruenzgruppe zyklische Überlagerung Translationsüberlagerung translation coveringVeechgruppe congruence subgroup Monodromiegruppe Veech group bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 cyclic covering monodromy group Kongruenzgruppe zyklische Überlagerung Translationsüberlagerung translation coveringVeechgruppe congruence subgroup Monodromiegruppe Veech group bic Book Industry Communication::P Mathematics & science |
| url | 34872 |
| work_keys_str_mv | AT finstermyriam veechgroupsandtranslationcoverings |