| Título: | Classification of smooth congruences of low degree |
| Autores: | Arrondo Esteban, Enrique ; Sols, Ignacio |
| Tipo de documento: | texto impreso |
| Editorial: | WALTER DE GRUYTER, 1989 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometria algebraica , Tipo = Artículo |
| Resumen: |
We give a complete classification of smooth congruences - i.e. surfaces in the Grassmann variety of lines in P 3C identified with a smooth quadric in P5- of degree at most 8, by studying which surfaces of P5can lie in a smooth quadric and proving their existence. We present their ideal sheaf as a quotient of natural bundles in the Grassmannian, what provides a perfect knowledge of its cohomology (for example postulation or linear normality), as well as many information on the Hilbert scheme of these families, such as dimension, smoothness, unirationality - and thus irreducibility - and in some cases rationality. |
| En línea: | https://eprints.ucm.es/id/eprint/14858/1/PPN243919689_0393_LOG_0012.pdf |
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