On the Chow ring of certain hypersurfaces in a Grassmannian

2019/01/15 by Robert Laterveer, Laterveer, Robert · 1 citation
Mathematics · #14C15 #14C25 #14C30 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1901.04809

openalex publication_date 2019/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This small note is about Plücker hyperplane sections X of the Grassmannian Gr(3,V₁₀). Inspired by the analogy with cubic fourfolds, we prove that the only non-trivial Chow group of X is generated by Grassmannians of type Gr(3,W₆) contained in X. We also prove that a certain subring of the Chow ring of X (containing all intersections of positive-codimensional subvarieties) injects into cohomology.

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• Motivic multiplicativity of complete intersections

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