On the k-regularity of some proyective manifolds.

Alzati, Alberto, and Besana, Gian Mario. "On the k-regularity of some proyective manifolds.." Collectanea Mathematica 49.2-3 (1998): 149-171. <http://eudml.org/doc/41184>.

@article{Alzati1998,
abstract = {The conjecture on the (degree-codimension + 1) - regularity of projective varieties is proved for smooth linearly normal polarized varieties (X,L) with L very ample, for low values of Delta(X,L) = degree-codimension-1. Results concerning the projective normality of some classes of special varieties including scrolls over curves of genus 2 and quadric fibrations over elliptic curves, are proved.},
author = {Alzati, Alberto, Besana, Gian Mario},
journal = {Collectanea Mathematica},
keywords = {Variedades proyectivas; Axiomas de regularidad; Espacio normal; Curvas lisas; Curvas elípticas; Castelnuovo-Mumford regularity; Eisenbud-Goto conjecture; -normality; scroll; projective normality; -genus},
language = {eng},
number = {2-3},
pages = {149-171},
title = {On the k-regularity of some proyective manifolds.},
url = {http://eudml.org/doc/41184},
volume = {49},
year = {1998},
}

TY - JOUR
AU - Alzati, Alberto
AU - Besana, Gian Mario
TI - On the k-regularity of some proyective manifolds.
JO - Collectanea Mathematica
PY - 1998
VL - 49
IS - 2-3
SP - 149
EP - 171
AB - The conjecture on the (degree-codimension + 1) - regularity of projective varieties is proved for smooth linearly normal polarized varieties (X,L) with L very ample, for low values of Delta(X,L) = degree-codimension-1. Results concerning the projective normality of some classes of special varieties including scrolls over curves of genus 2 and quadric fibrations over elliptic curves, are proved.
LA - eng
KW - Variedades proyectivas; Axiomas de regularidad; Espacio normal; Curvas lisas; Curvas elípticas; Castelnuovo-Mumford regularity; Eisenbud-Goto conjecture; -normality; scroll; projective normality; -genus
UR - http://eudml.org/doc/41184
ER -