Título inglés |
Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view. |
Título español |
Compactaciones de espacios moduli de fibrados (semi)estables en curvas singulares: dos puntos de vista. |
Autor/es |
Teixidor i Bigas, Montserrat |
Organización |
Dep. Math. Univ. Tufts, Medford (Massachusetts), Estados Unidos |
Revista |
0010-0757 |
Publicación |
1998, 49 (2-3): 527-548, 11 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Moduli spaces of vector bundles on families of non-singular curves are usually compactified by considering (slope)semistable bundles on stable curves. Alternatively, one could consider Hilbert-stable curves in Grassmannians. We study some properties of the latter and compare them with similar properties of curves coming from the former compactification. This leads to a new interpretation of the moduli space of (semi)stable torsion-free sheaves on a fixed nodal curve. One can present it as a quotient of a moduli space of torsion-free sheaves on a variable curve in such a way that each class has a locally-free representative. |
Clasificación UNESCO |
120404 |
Palabras clave español |
Espacio de Moduli ; Curvas algebraicas ; Compacidad ; Conjuntos estables ; Fibrados ; Polarización ; Espacios vectoriales |
Código MathReviews |
MR1677092 |
Código Z-Math |
Zbl 0932.14015 |
Acceso al artículo completo |