%0 Journal Article %T Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity %A Steven Dale Cutkosky %J Mathematics %D 1999 %I arXiv %X 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. %U http://arxiv.org/abs/math/9902037v1