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Complex Lagrangian embeddings of moduli spaces of vector bundles

✍ Scribed by U. Bruzzo; F. Pioli

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
53 KB
Volume
14
Category
Article
ISSN
0926-2245

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✦ Synopsis

By means of a Fourier-Mukai transform we embed moduli spaces M C (r, d) of stable bundles on an algebraic curve C of genus g(C) 2 as isotropic subvarieties of moduli spaces of Β΅-stable bundles on the Jacobian variety J (C). When g(C) = 2 this provides new examples of special Lagrangian submanifolds.

πŸ“œ SIMILAR VOLUMES

Erratum to: β€œComplex Lagrangian embeddin
Erratum to: β€œComplex Lagrangian embeddings of moduli spaces of vector bundles” [Differential Geom. Appl. 14 (2001) 151–156]
✍ U. Bruzzo; F. Pioli πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 11 KB

Moreover, the following "Note added in proof" should have been included: Note added. In the case where g(C) = 4 one can use the fact that that is, the sufficient condition for smoothness is not satisfied. The isotropicity condition yields the inequality dim M J (C) (r, d) 6r 2 + 2. On the other ha