Existence of coherent systems of rank two and dimension four.

Título inglés	Existence of coherent systems of rank two and dimension four.
Título español	Existencia de sistemas coherentes de rango dos y dimensión cuatro.
Autor/es	Teixidor i Bigas, Montsserrat
Organización	Math. Dep. Tufts Univ., Medford (Massachusetts), Estados Unidos
Revista	0010-0757
Publicación	2007, 58 (2): 193-198, 6 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We show that the moduli space of coherent systems of rank two and dimension four on a generic curve of genus at least two is non-empty for any value of the parameter when the Brill-Noether number is at least one and the degree is odd or when the Brill-Noether number is at least ve and the degree is even. In all these cases there is one component of the moduli space of coherent systems of the expected dimension. The case of rank two and dimension four is particularly relevant as it is the rst case that cannot be treated by reduction to smaller rank or dimension.
Clasificación UNESCO	120101
Palabras clave español	Curvas algebraicas ; Haces vectoriales
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