A remark on Beauville's splitting property

2017/06/19 by Robert Laterveer, Laterveer, Robert
Computer Science · Mathematics · #14C15 #14C25 #14C30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1706.05820

openalex publication_date 2017/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Let X be a hyperkähler variety. Beauville has conjectured that a certain subring of the Chow ring of X should inject into cohomology. This note proposes a similar conjecture for the ring of algebraic cycles on X modulo algebraic equivalence: a certain subring (containing divisors and codimension 2 cycles) should inject into cohomology. We present some evidence for this conjecture.

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