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Stability of conic bundles - (With an appendix by Mundet I Riera)

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Sols, Ignacio y Gómez, Tomás L. (2000) Stability of conic bundles - (With an appendix by Mundet I Riera). International journal of mathematics, 11 (8). pp. 1027-1055. ISSN 0129-167X

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URL Oficial: http://www.worldscientific.com/doi/pdf/10.1142/S0129167X00000507


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Roughly speaking, a conic bundle is a surface, fibered over a curve, such that the fibers are conics (not necessarily smooth). We define stability for conic bundles and construct a moduli space. We prove that (after fixing some invariants) these moduli spaces are irreducible (under some conditions). Conic bundles can be thought of as generalizations of orthogonal bundles on curves. We show that in this particular case our definition of stability agrees with the definition of stability for orthogonal bundles. Finally, in an appendix by I. Mundet i Riera, a Hitchin-Kobayashi correspondence is stated for conic bundles.


Tipo de documento:Artículo
Palabras clave:Principal bundles; Algebraic-curves; Moduli
Materias:Ciencias > Matemáticas > Álgebra
Código ID:20448
Depositado:15 Mar 2013 18:17
Última Modificación:25 Sep 2018 17:19

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