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Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity

Steven Dale Cutkosky
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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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Steven Dale Cutkosky. 1999-02-04. Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity. https://arxiv.org/abs/math/9902037

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