Szabó, Szilárd (2017) The birational geometry of unramified irregular Higgs bundles on curves. INTERNATIONAL JOURNAL OF MATHEMATICS, 28 (6). No. 1750045. ISSN 0129-167X
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Official URL: https://doi.org/10.1142/S0129167X17500458
Abstract
We give a variant of the Beauville-Narasimhan-Ramanan correspondence for irregular parabolic Higgs bundles on smooth projective curves with fixed semi-simple irregular part and show that it defines a Poisson isomorphism between certain irregular Dolbeault moduli spaces and relative Picard bundles of families of ruled surfaces over the curve.
| Item Type: | Article |
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| Uncontrolled Keywords: | PAIRS; CONNECTIONS; MODULI; Nahm transform; SPECTRAL CURVES; INTEGRABLE SYSTEMS; holomorphic Poisson structure; relative Picard bundle; ruled surface; spectral sheaf; irregular Higgs bundle; Smooth projective curve |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 23 Dec 2017 03:50 |
| Last Modified: | 23 Dec 2017 03:50 |
| URI: | http://real.mtak.hu/id/eprint/71587 |
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