@inproceedings{7f6dad9ebe434a2da0ceb9102080a9ff,
title = "Castelnuovo-Mumford regularity and Schubert geometry",
abstract = "We study the Castelnuovo-Mumford regularity of tangent cones of Schubert varieties. Conjectures about this statistic are presented; these are proved for the covexillary case. This builds on work of L. Li and the author on these tangent cones, as well as that of J. Rajchgot-Y. Ren-C. RobichauxA. St. Dizier-A. Weigandt and J. Rajchgot-C. Robichaux-A. Weigandt on tableau rules for computing regularity of some matrix Schubert varieties.",
keywords = "Castelnuovo-Mumford regularity, Schubert varieties, tangent cones",
author = "Alexander Yong",
note = "The author was partially supported by a Simons Collaboration Grant, an NSF RTG 1937241 in Combinatorics, and an appointment at the UIUC Center for Advanced Study.; Conference on Open Problems in Algebraic Combinatorics, OPAC 2022 ; Conference date: 16-05-2022 Through 22-05-2022",
year = "2024",
doi = "10.1090/pspum/110/02010",
language = "English (US)",
isbn = "9781470473334",
series = "Proceedings of Symposia in Pure Mathematics",
publisher = "American Mathematical Society",
pages = "349--360",
editor = "Christine Berkesch and Benjamin Brubaker and Gregg Musiker and Pavlo Pylyavskyy and Victor Reiner",
booktitle = "Open Problems in Algebraic Combinatorics",
address = "United States",
}