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2021 Symbolic Powers and Free Resolutions of Generalized Star Configurations of Hypersurfaces
Kuei-Nuan Lin, Yi-Huang Shen
Michigan Math. J. Advance Publication 1-34 (2021). DOI: 10.1307/mmj/20205890

Abstract

As a generalization of the ideals of star configurations of hypersurfaces, we consider the a-fold product ideal Ia(f1m1fsms) when f1,,fs is a sequence of n-generic forms and 1am1++ms. Firstly, we show that this ideal has complete intersection quotients when these forms are of the same degree and essentially linear. Then, we study its symbolic powers while focusing on the uniform case with m1==ms. For large a, we describe its resurgence and symbolic defect. And for general a, we also investigate the corresponding invariants for meeting-at-the-minimal-components version of symbolic powers.

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Kuei-Nuan Lin. Yi-Huang Shen. "Symbolic Powers and Free Resolutions of Generalized Star Configurations of Hypersurfaces." Michigan Math. J. Advance Publication 1 - 34, 2021. https://doi.org/10.1307/mmj/20205890

Information

Received: 13 March 2020; Revised: 10 August 2020; Published: 2021
First available in Project Euclid: 23 July 2021

Digital Object Identifier: 10.1307/mmj/20205890

Subjects:
Primary: 13A15 , 13A50 , 13D02 , 14N20 , 52C35

Rights: Copyright © 2021 The University of Michigan

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