On the Beilinson-Hodge conjecture for \(H^2\) and rational varieties
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Publication:2391592
DOI10.4310/MRL.2012.V19.N1.A12zbMath1283.14006arXiv1104.4976WikidataQ123359852 ScholiaQ123359852MaRDI QIDQ2391592
Publication date: 5 August 2013
Published in: Mathematical Research Letters (Search for Journal in Brave)
Abstract: The Beilinson-Hodge conjecture asserts the surjectivity of the cycle map $$H^n_M(X,Q(n)) o {
m Hom}_{MHS}(Q(-n),H^n(X,Q))$$ for all positive integers $n$ and every smooth complex algebraic variety $X$. For $n=2$, we prove the conjecture if $X$ is rational.
Full work available at URL: https://arxiv.org/abs/1104.4976
Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)
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