HITCHIN SYSTEMS FOR INVARIANT AND ANTI-INVARIANT VECTOR BUNDLES
Given a smooth projective complex curve X with an involution σ, we study the Hitchin systems for the locus of anti-invariant (resp. invariant) stable vector bundles over X under σ. Using these integrable systems and the theory of the nilpotent cone, we study the irreducibility of these loci. The ant...
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| Format: | Article |
| Language: | English |
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American Mathematical Society
2022
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| Online Access: | View Fulltext in Publisher |
| Summary: | Given a smooth projective complex curve X with an involution σ, we study the Hitchin systems for the locus of anti-invariant (resp. invariant) stable vector bundles over X under σ. Using these integrable systems and the theory of the nilpotent cone, we study the irreducibility of these loci. The anti-invariant locus can be thought of as a generalisation of Prym varieties to higher rank. © 2022 American Mathematical Society. |
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| ISBN: | 00029947 (ISSN) |
| DOI: | 10.1090/tran/8599 |