Loop group schemes and Abhyankar’s lemma
We define the notion of loop reductive group schemes defined over the localization of a regular henselian ring $A$ at a strict normal crossing divisor $D$. We provide a criterion for the existence of parabolic subgroups of a given type.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-03-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.545/ |
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| _version_ | 1825206218325491712 |
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| author | Gille, Philippe |
| author_facet | Gille, Philippe |
| author_sort | Gille, Philippe |
| collection | DOAJ |
| description | We define the notion of loop reductive group schemes defined over the localization of a regular henselian ring $A$ at a strict normal crossing divisor $D$. We provide a criterion for the existence of parabolic subgroups of a given type. |
| format | Article |
| id | doaj-art-30a33a847e7c4726b5b3624576946454 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-30a33a847e7c4726b5b36245769464542025-02-07T11:16:25ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-03-01362G215916610.5802/crmath.54510.5802/crmath.545Loop group schemes and Abhyankar’s lemmaGille, Philippe0UMR 5208 Institut Camille Jordan - Université Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex - FranceWe define the notion of loop reductive group schemes defined over the localization of a regular henselian ring $A$ at a strict normal crossing divisor $D$. We provide a criterion for the existence of parabolic subgroups of a given type.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.545/Reductive group schemesnormal crossing divisorparabolic subgroups |
| spellingShingle | Gille, Philippe Loop group schemes and Abhyankar’s lemma Comptes Rendus. Mathématique Reductive group schemes normal crossing divisor parabolic subgroups |
| title | Loop group schemes and Abhyankar’s lemma |
| title_full | Loop group schemes and Abhyankar’s lemma |
| title_fullStr | Loop group schemes and Abhyankar’s lemma |
| title_full_unstemmed | Loop group schemes and Abhyankar’s lemma |
| title_short | Loop group schemes and Abhyankar’s lemma |
| title_sort | loop group schemes and abhyankar s lemma |
| topic | Reductive group schemes normal crossing divisor parabolic subgroups |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.545/ |
| work_keys_str_mv | AT gillephilippe loopgroupschemesandabhyankarslemma |