| Título: | Classification of smooth congruences with a fundamental curve |
| Autores: | Arrondo Esteban, Enrique ; Bertolini, Marina ; Turrini, Cristina |
| Tipo de documento: | texto impreso |
| Editorial: | Dekker, 1994 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Álgebra , Tipo = Sección de libro |
| Resumen: |
A congruence of lines is a (n?1)-dimensional family of lines in Pn (over C), i.e. a variety Y of dimension (and hence of codimension) n ? 1 in the Grassmannian Gr(1, Pn). A fundamental curve for Y is a curve C Pn which meets all the lines of Y . In this paper the authors classify all smooth congruences with fundamental curve C generalizing a paper by E. Arrondo and M. Gross [Manuscr. 79, No. 3-4, 283-298 (1993; Zbl 0803.14019)], where the case n = 3 was treated. An explicit construction for all possible congruences that they found is also given. |
| En línea: | https://eprints.ucm.es/id/eprint/21039/1/arrondo-classification.pdf |
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