Reality and transversality for Schubert calculus in OG(n,2n+1)

2009/11/11 by Kevin Purbhoo, Purbhoo, Kevin
Computer Science · Mathematics · #14N15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematics and Applications #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0911.2039

openalex publication_date 2009/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove an analogue of the Mukhin-Tarasov-Varchenko theorem (formerly the Shapiro-Shapiro conjecture) for the maximal type B_n orthogonal Grassmannian OG(n,2n+1).

Citations

• Schubert calculus and representations of general linear group

Related

• Frontiers of Reality in Schubert Calculus
• Reality and Computation in Schubert Calculus
• The Wronski map and shifted tableau theory
• Schubert valuations on Grassmann varieties
• Elementary Transversality in the Schubert calculus in any Characteristic