RT Journal Article
T1 Classification of smooth congruences of low degree
A1 Arrondo Esteban, Enrique
A1 Sols, Ignacio
AB We give a complete classification of smooth congruences - i.e. surfaces in the Grassmannvariety of lines in P 3C identified with a smooth quadric in P5- of degree at most 8, bystudying 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 linearnormality), as well as many information on the Hilbert scheme of these families, suchas dimension, smoothness, unirationality - and thus irreducibility - and in some casesrationality.
PB Walter de Gruyter
SN 0075-4102
YR 1989
FD 1989
LK https://hdl.handle.net/20.500.14352/57185
UL https://hdl.handle.net/20.500.14352/57185
LA eng
DS Docta Complutense
RD 8 may 2024