Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.

Chikashi Miyazaki

Collectanea Mathematica (2005)

  • Volume: 56, Issue: 1, page 97-102
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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Miyazaki, Chikashi. "Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.." Collectanea Mathematica 56.1 (2005): 97-102. <http://eudml.org/doc/41823>.

@article{Miyazaki2005,
abstract = {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.},
author = {Miyazaki, Chikashi},
journal = {Collectanea Mathematica},
keywords = {Variedades proyectivas; Regularidad; Anillos y módulos de Cohen-Macaulay; Cohomología local},
language = {eng},
number = {1},
pages = {97-102},
title = {Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.},
url = {http://eudml.org/doc/41823},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Miyazaki, Chikashi
TI - Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 1
SP - 97
EP - 102
AB - 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.
LA - eng
KW - Variedades proyectivas; Regularidad; Anillos y módulos de Cohen-Macaulay; Cohomología local
UR - http://eudml.org/doc/41823
ER -

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