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Conjectures on the cohomology of the Grassmannian

2003/09/17 by Victor Reiner, Reiner, Victor, Geanina Tudose +1 · 1 citation
Mathematics · Physics and Astronomy · #05E15 #14N15 #15N15 #Advanced Differential Geometry Research #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.CO #msc:05E15 #msc:14N15 #msc:15N15

paper · pdf · doi:10.48550/arxiv.math/0309281

8 pages

arxiv created 2003/09/17 · openalex publication_date 2003/09/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a series of successively weaker conjectures on the cohomology ring of the Grassmannian, starting with the Hilbert series of a certain natural filtration.

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