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Title: Double Schubert polynomials do have saturated Newton polytopes
Abstract We prove that double Schubert polynomials have the saturated Newton polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory of multidegrees. We introduce a notion of standardization of ideals that enables us to study nonstandard multigradings. This allows us to show that the support of the multidegree polynomial of each Cohen–Macaulay prime ideal in a nonstandard multigrading, and in particular, that of each Schubert determinantal ideal is a discrete polymatroid.  more » « less
Award ID(s):
2303605
PAR ID:
10556886
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Cambridge University Press
Date Published:
Journal Name:
Forum of Mathematics, Sigma
Volume:
11
ISSN:
2050-5094
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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