Holomorphic triples of genus 0

• Autorzy: Stefano Pasotti , Francesco Prantil
• Języki publikacji: EN

Abstrakty

EN

Here we study the relationship between the stability of coherent systems and the stability of holomorphic triples over a curve of arbitrary genus. Moreover we apply these results to study some properties and give some examples of holomorphic triples on the projective line.

Słowa kluczowe

EN

Holomorphic triples; coherent systems; vector bundles; projective line; epistability

Kategorie tematyczne

• 14H60: Vector bundles on curves and their moduli

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 1
• Strony: 129-142

Daty

wydano

2008-03-01

online

2008-02-26

Twórcy

autor

Stefano Pasotti

• Universita Cattolica

autor

Francesco Prantil

• University of Trento

Bibliografia

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• [3] Bradlow S.B., García-Prada O., Stable triples equivariant bundles and dimensional reduction, Math. Ann., 1996, 304, 225–252 http://dx.doi.org/10.1007/BF01446292
• [4] Bradlow S.B., García-Prada O., Gothen P.B., Moduli spaces of holomorphic triples over compact Riemann surfaces, Math. Ann., 2004, 328, 299–351 http://dx.doi.org/10.1007/s00208-003-0484-z
• [5] Bradlow S.B., García-Prada O., Gothen P.B., Homotopy groups of moduli spaces of representations, preprint available at http://arxiv.org/abs/math/0506444 v2
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• [7] Bradlow S.B., García-Prada O., Munoz V., Newstead P.E., Coherent systems and Brill-Noether theory, Internat. J. Math., 2003, 14, 683–733 http://dx.doi.org/10.1142/S0129167X03002009
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• [11] Lange H., Newstead P.E., Coherent systems of genus 0 II Existence results for k ≥ 3, Internat. J. Math., 2007, 18, 363–393 http://dx.doi.org/10.1142/S0129167X07004072
• [12] Pasotti S., Prantil F., Holomorphic triples on elliptic curves, Results Math., 2007, 50, 227–239 http://dx.doi.org/10.1007/s00025-007-0248-2
• [13] Schmitt A., A universal construction for the moduli spaces of decorated vector bundles, Habilitationsschrift, University of Essen, 2000

Identyfikatory

DOI

10.2478/s11533-008-0008-x