Geodesic
Gröbner geometry of Schubert polynomials
Allen Knutson1 ; Ezra Miller2
1 Department of Mathematics, University of California, Berkeley, CA 94720, United States
2 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States
Annals of mathematics, Tome 161 (2005) no. 3, pp. 1245-1318.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Given a permutation $w \in S_n$, we consider a determinantal ideal $I_w$ whose generators are certain minors in the generic $n \times n$ matrix (filled with independent variables). Using ‘multidegrees’ as simple algebraic substitutes for torus-equivariant cohomology classes on vector spaces, our main theorems describe, for each ideal $I_w$:
DOI : 10.4007/annals.2005.161.1245

Allen Knutson 1 ; Ezra Miller 2

1 Department of Mathematics, University of California, Berkeley, CA 94720, United States
2 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States 
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Allen Knutson; Ezra Miller. Gröbner geometry of Schubert polynomials. Annals of mathematics, Tome 161 (2005) no. 3, pp. 1245-1318. doi : 10.4007/annals.2005.161.1245. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.1245/

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