Título inglés |
Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface. |
Título español |
Haces principales de tipo orbifold sobre un fibrado elíptico y haces principales parabólicos sobre una superficie de Riemann. |
Autor/es |
Biswas, Indranil |
Organización |
Sch. Math. Tata Inst. Fund. Res., Bombay, India |
Revista |
0010-0757 |
Publicación |
2003, 54 (3): 293-308, 14 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Let X be a compact Riemann surface and associated to each point p-i of a finite subset S of X is a positive integer m-i. Fix an elliptic curve C. To this data we associate a smooth elliptic surface Z fibered over X. The group C acts on Z with X as the quotient. It is shown that the space of all vector bundles over Z equipped with a lift of the action of C is in bijective correspondence with the space of all parabolic bundles over X with parabolic structure over S and the parabolic weights at any p-i being integral multiples of 1 / m-i. A vector bundle V over Z equipped with an action of C is semistable (respectively, polystable) if and only if the parabolic bundle on X corresponding to V is semistable (respectively, polystable). This bijective correspondence is extended to the context of principal bundles. |
Clasificación UNESCO |
121004 ; 120101 |
Palabras clave español |
Espacios y haces de fibras ; Fibrados ; Fibraciones principales ; Superficies Riemann |
Código MathReviews |
MR2010791 |
Código Z-Math |
Zbl 1048.14014 |
Acceso al artículo completo |