TY - JOUR
T1 - Symbolic Powers and Free Resolutions of Generalized Star Configurations of Hypersurfaces
AU - Lin, Kuei Nuan
AU - Shen, Yi Huang
N1 - Publisher Copyright:
© 2023 University of Michigan. All rights reserved.
PY - 2023
Y1 - 2023
N2 - As a generalization of the ideals of star configurations of hypersurfaces, we consider the a-fold product ideal Ia (f1m1 · · · fsms ) when f1, ..., fs is a sequence of n-generic forms and 1 ≤ a ≤ m1 + · · · + 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.
AB - As a generalization of the ideals of star configurations of hypersurfaces, we consider the a-fold product ideal Ia (f1m1 · · · fsms ) when f1, ..., fs is a sequence of n-generic forms and 1 ≤ a ≤ m1 + · · · + 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.
UR - https://www.scopus.com/pages/publications/85152253654
UR - https://www.scopus.com/pages/publications/85152253654#tab=citedBy
U2 - 10.1307/MMJ/20205890
DO - 10.1307/MMJ/20205890
M3 - Article
AN - SCOPUS:85152253654
SN - 0026-2285
VL - 73
SP - 33
EP - 66
JO - Michigan Mathematical Journal
JF - Michigan Mathematical Journal
IS - 1
ER -