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A connectivity lemma for the Albanese map

M. Rovinsky
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Abstract

I prove that for any complex projective variety $X$ and a sufficiently large integer $N$ all the fibers of Albanese map of the $N$-th configuration space of $X$ are dominated by smooth connected projective varieties with vanishing ${\rm H}^1$.

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M. Rovinsky. 1996-04-17. A connectivity lemma for the Albanese map. https://arxiv.org/abs/alg-geom/9604010

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