A connectivity lemma for the Albanese map

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX, 3 pages

Scientific paper

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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