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 |
| LEADER | 00898nam a2200133Ia 4500 | ||
|---|---|---|---|
| 001 | 10.1090-tran-8599 | ||
| 008 | 220425s2022 CNT 000 0 und d | ||
| 020 | |a 00029947 (ISSN) | ||
| 245 | 1 | 0 | |a HITCHIN SYSTEMS FOR INVARIANT AND ANTI-INVARIANT VECTOR BUNDLES |
| 260 | 0 | |b American Mathematical Society |c 2022 | |
| 856 | |z View Fulltext in Publisher |u https://doi.org/10.1090/tran/8599 | ||
| 520 | 3 | |a 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. | |
| 700 | 1 | |a Hacen, Z. |e author | |
| 773 | |t Transactions of the American Mathematical Society | ||