Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties
For any smooth projective variety with a holomorphic locally homogeneous structure modelled on a homogeneous algebraic variety, we determine all the subvarieties of it that develop to the model.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212165 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties. Indranil Biswas and Benjamin McKay. SIGMA 20 (2024), 030, 33 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862579022237532160 |
|---|---|
| author | Biswas, Indranil McKay, Benjamin |
| author_facet | Biswas, Indranil McKay, Benjamin |
| citation_txt | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties. Indranil Biswas and Benjamin McKay. SIGMA 20 (2024), 030, 33 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | For any smooth projective variety with a holomorphic locally homogeneous structure modelled on a homogeneous algebraic variety, we determine all the subvarieties of it that develop to the model.
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| first_indexed | 2026-03-13T16:21:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212165 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T16:21:53Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Biswas, Indranil McKay, Benjamin 2026-01-30T08:16:24Z 2024 Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties. Indranil Biswas and Benjamin McKay. SIGMA 20 (2024), 030, 33 pages 1815-0659 2020 Mathematics Subject Classification: 53B21; 53C56; 53A55 arXiv:2302.13649 https://nasplib.isofts.kiev.ua/handle/123456789/212165 https://doi.org/10.3842/SIGMA.2024.030 For any smooth projective variety with a holomorphic locally homogeneous structure modelled on a homogeneous algebraic variety, we determine all the subvarieties of it that develop to the model. This research was supported in part by the International Centre for Theoretical Sciences (ICTS) during a visit to participate in the program- Analytic and Algebraic Geometry (Code: ICTS/aag2018/03). It is a pleasure to thank the referees who made a significant contribution to clarifying the paper. BM thanks Anca Mustat¸˘a and Andrei Mustat¸˘a for help with algebraic geometry, and Sorin Dumitrescu for help with Cartan geometries. This article is based on work from COST Action CaLISTA CA21109 supported by COST (European Cooperation in Science and Technology). IB is partially supported by a J.C. Bose Fellowship (JBR/2023/000003). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties Article published earlier |
| spellingShingle | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties Biswas, Indranil McKay, Benjamin |
| title | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties |
| title_full | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties |
| title_fullStr | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties |
| title_full_unstemmed | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties |
| title_short | Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties |
| title_sort | locally homogeneous holomorphic geometric structures on projective varieties |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212165 |
| work_keys_str_mv | AT biswasindranil locallyhomogeneousholomorphicgeometricstructuresonprojectivevarieties AT mckaybenjamin locallyhomogeneousholomorphicgeometricstructuresonprojectivevarieties |