Saturation bounds for smooth varieties

Abstract

We prove bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example, we show that a classical statement due to Macualay for zero-dimensional complete intersection ideals holds for any smooth variety. For curves, we bound the saturation degree of powers in terms of the regularity.

References in corpus (2)

• Uniform Bounds and Symbolic Powers on Smooth Varieties
• Comparison of symbolic and ordinary powers of ideals