Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
We give examples of nonsingular curves in projective 3 space such that the regularity of powers of their ideal sheaves are highly nonlinear. This is in constrast to the case of an ideal I in a polynomial ring, where the regularity of I^n is a linear polynomial in n for large n.
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Cite
@article{arxiv.math/9902037,
title = {Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity},
author = {Steven Dale Cutkosky},
journal= {arXiv preprint arXiv:math/9902037},
year = {2007}
}
Comments
10 pages