Some new Fano varieties with a multiplicative Chow-K "unneth\n decomposition

2021/11/13 by Robert Laterveer, Laterveer, Robert
Mathematics · #14C15 #14C25 #14C30 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2111.07069

openalex publication_date 2021/11/13 · openalex created_date 2022/10/21 · openalex updated_date 2026/07/28

Abstract

Let Y be a smooth dimensionally transverse intersection of the Grassmannian\n hboxGr(2,n) with 3 Pl "ucker hyperplanes. We show that Y admits a\nmultiplicative Chow-K "unneth decomposition, in the sense of Shen-Vial. As a\nconsequence, a certain tautological subring of the Chow ring of powers of Y\ninjects into cohomology.\n

Citations

• On a conjectural filtration on the Chow groups of an algebraic variety
• On the Chow theory of projectivizations
• Motivic decompositions for the Hilbert scheme of points of a K3 surface
• Determinantal hypersurfaces

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