Compactification of moduli of Higgs bundles
In this paper we consider a canonical compactification of Hitchin's moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface, producing a projective variety by gluing in a divisor at infinity. We give a detailed study of the compactified space, the diviso...
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| Materiálatiipa: | Journal article |
| Giella: | English |
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1998
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| _version_ | 1826292258518859776 |
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| author | Hausel, T |
| author_facet | Hausel, T |
| author_sort | Hausel, T |
| collection | OXFORD |
| description | In this paper we consider a canonical compactification of Hitchin's moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface, producing a projective variety by gluing in a divisor at infinity. We give a detailed study of the compactified space, the divisor at infinity and the moduli space itself. In doing so we reprove some assertions of Laumon and Thaddeus on the nilpotent cone. |
| first_indexed | 2024-03-07T03:11:55Z |
| format | Journal article |
| id | oxford-uuid:b47c8dd0-33dd-403b-a9f1-a5d95d7f6d28 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:11:55Z |
| publishDate | 1998 |
| record_format | dspace |
| spelling | oxford-uuid:b47c8dd0-33dd-403b-a9f1-a5d95d7f6d282022-03-27T04:26:27ZCompactification of moduli of Higgs bundlesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b47c8dd0-33dd-403b-a9f1-a5d95d7f6d28EnglishSymplectic Elements at Oxford1998Hausel, TIn this paper we consider a canonical compactification of Hitchin's moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface, producing a projective variety by gluing in a divisor at infinity. We give a detailed study of the compactified space, the divisor at infinity and the moduli space itself. In doing so we reprove some assertions of Laumon and Thaddeus on the nilpotent cone. |
| spellingShingle | Hausel, T Compactification of moduli of Higgs bundles |
| title | Compactification of moduli of Higgs bundles |
| title_full | Compactification of moduli of Higgs bundles |
| title_fullStr | Compactification of moduli of Higgs bundles |
| title_full_unstemmed | Compactification of moduli of Higgs bundles |
| title_short | Compactification of moduli of Higgs bundles |
| title_sort | compactification of moduli of higgs bundles |
| work_keys_str_mv | AT hauselt compactificationofmoduliofhiggsbundles |