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arXiv · 1104.4976

On the Beilinson-Hodge conjecture for $H^2$ and rational varieties

Andre Chatzistamatiou
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Abstract

The Beilinson-Hodge conjecture asserts the surjectivity of the cycle map $$H^n_M(X,\Q(n)) \to {\rm Hom}_{MHS}(\Q(-n),H^n(X,\Q))$$ for all positive integers $n$ and every smooth complex algebraic variety $X$. For $n=2$, we prove the conjecture if $X$ is rational.

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BibTeXRIS

Andre Chatzistamatiou. 2011-04-26. On the Beilinson-Hodge conjecture for $H^2$ and rational varieties. https://arxiv.org/abs/1104.4976

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