Equivalence of families of singular schemes on threefolds and on ruled fourfolds.

Título inglés	Equivalence of families of singular schemes on threefolds and on ruled fourfolds.
Título español	Equivalencia de familias de esquemas singulares sobre 3-variedades y sobre 4-variedades regladas.
Autor/es	Flamini, Flaminio
Organización	Dip. Mat. Univ. Stud. L'Aquila, L'Aquila, Italia
Revista	0010-0757
Publicación	2004, 55 (1): 37-60, 24 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	The main purpose of this paper is twofold. We first analyze in detail the meaningful geometric aspect of the method introduced in [12], concerning families of irreducible, nodal curves on a smooth, projective threefold X. This analysis gives some geometric interpretations not investigated in [12] and highlights several interesting connections with families of other singular geometric objects related to X and to other varieties. Then we use this method to study analogous problems for families of singular divisors on ruled fourfolds suitably related to X. This enables us to show that Severi varieties of vector bundles on X can be rephrased in terms of classical Severi varieties of divisors on such fourfolds.
Clasificación UNESCO	120101 ; 121015
Palabras clave español	Curvas ; 3-variedades ; Haces
Código MathReviews	MR2028980
Código Z-Math	Zbl 1077.14050
Acceso al artículo completo