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2022 Saturation bounds for smooth varieties
Lawrence Ein, Huy Tài Hà, Robert Lazarsfeld
Algebra Number Theory 16(6): 1531-1546 (2022). DOI: 10.2140/ant.2022.16.1531

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 Macaulay 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.

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Lawrence Ein. Huy Tài Hà. Robert Lazarsfeld. "Saturation bounds for smooth varieties." Algebra Number Theory 16 (6) 1531 - 1546, 2022. https://doi.org/10.2140/ant.2022.16.1531

Information

Received: 2 April 2021; Revised: 13 July 2021; Accepted: 5 October 2021; Published: 2022
First available in Project Euclid: 2 October 2022

Digital Object Identifier: 10.2140/ant.2022.16.1531

Subjects:
Primary: 13B02 , 14F99

Keywords: Castelnuovo–Mumford regularity , saturation degree , symbolic powers of ideals

Rights: Copyright © 2022 Mathematical Sciences Publishers

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Vol.16 • No. 6 • 2022
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