TY - JOUR
T1 - Generalized Permutahedra and Schubert Calculus
AU - Dizier, Avery St
AU - Yong, Alexander
N1 - Publisher Copyright:
© 2022, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.
PY - 2022/10
Y1 - 2022/10
N2 - We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the flag variety. Our argument utilizes recent developments in the study of Schubitopes, which are Newton polytopes of Schubert polynomials. The resulting tableau test executes in polynomial time.
AB - We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the flag variety. Our argument utilizes recent developments in the study of Schubitopes, which are Newton polytopes of Schubert polynomials. The resulting tableau test executes in polynomial time.
UR - http://www.scopus.com/inward/record.url?scp=85132870537&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85132870537&partnerID=8YFLogxK
U2 - 10.1007/s40598-022-00208-z
DO - 10.1007/s40598-022-00208-z
M3 - Article
AN - SCOPUS:85132870537
SN - 2199-6792
VL - 8
SP - 517
EP - 533
JO - Arnold Mathematical Journal
JF - Arnold Mathematical Journal
IS - 3-4
ER -