Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity

Details Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity

1999-02-04

arxiv.org/abs/math/9902037v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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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