The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideals of the projective varieties. There are some bounds on the Castelnuovo-Mumford regularity of the projective variety in terms of the other basic invariants such as dimension, codimension and degree. This paper studies a bound on the regularity conjectured by Hoa, and shows this bound and extremal examples in the case of divisors on rational normal scrolls.
@article{urn:eudml:doc:41823,
title = {Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.},
journal = {Collectanea Mathematica},
volume = {56},
year = {2005},
pages = {97-102},
zbl = {1065.14062},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41823}
}
Miyazaki, Chikashi. Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.. Collectanea Mathematica, Tome 56 (2005) pp. 97-102. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41823/