Publicado
Moduli Space of Vector Bundles and Coherent Systems on Curves
Espacios Moduli de Fibrados Vectoriales y Sistemas Coherentes sobre Curvas
DOI:
https://doi.org/10.15446/bol.mat.v33n1.124663Palabras clave:
moduli spaces, vector bundles, coherent systems, Brill-Noether theory (en)fibrados vectoriales, sistemas coherentes, problemas moduli, teoría de Brill-Noether (es)
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We provide an overview of moduli problems and discuss the construction of their associated moduli spaces using Geometric Invariant Theory (GIT). We present the general framework for constructing the moduli space of vector bundles and the moduli space of coherent systems on a smooth, irreducible complex projective algebraic curve. The study of these moduli spaces is closely related to Brill–Noether theory.
Presentamos una visión general sobre los problemas moduli y discutimos la construcción de sus espacios moduli asociados mediante la teoría de invariantes geométrica. Estudiamos de manera general la construcción del espacio moduli de fibrados vectoriales y del espacio moduli de sistemas coherentes sobre una curva algebraica proyectiva compleja, suave e irreducible. El estudio de estos espacios moduli esta relacionado con la teoría de Brill–Noether.
Referencias
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