Symbolic Powers and Free Resolutions of Generalized Star Configurations of Hypersurfaces
As a generalization of the ideals of star configurations of hypersurfaces, we consider the $a$-fold product ideal $Ia(f1^{m1}\cdots fs^{ms})$ when ${f1,\dots,fs}$ is a sequence of $n$-generic forms and $1\le a\le m1+\cdots+ms$. 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 $m1=\cdots=m_s$. 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.
Files
Metadata
| Work Title | Symbolic Powers and Free Resolutions of Generalized Star Configurations of Hypersurfaces |
|---|---|
| Access | |
| Creators |
|
| License | In Copyright (Rights Reserved) |
| Work Type | Article |
| Publisher |
|
| Publication Date | July 23, 2021 |
| Publisher Identifier (DOI) |
|
| Deposited | November 17, 2021 |
Versions
Analytics
Collections
This resource is currently not in any collection.