2008/11/17 by Anders Skovsted Buch, Buch, Anders S., Andrew Kresch +3
Mathematics · #14M15 (Secondary) #14N15 (Primary) 05E15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.0811.2781
openalex publication_date 2008/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X be a symplectic or odd orthogonal Grassmannian. We prove a Giambelli formula which expresses an arbitrary Schubert class in H∗(X,Z) as a polynomial in certain special Schubert classes. This polynomial, which we call a theta polynomial, is defined using raising operators, and we study its image in the ring of Billey–Haiman Schubert polynomials.