Resumen de Gröbner geometry of Schubert polynomials

Allen Knutson, E. Miller

• Given a permutation w ¿¿ Sn, we consider a determinantal ideal Iw whose generators are certain minors in the generic n ¿~ n matrix (filled with independent variables). Using ¿emultidegrees¿f as simple algebraic substitutes for torus-equivariant cohomology classes on vector spaces, our main theorems describe, for each ideal Iw.