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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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algebraic geometry seminar
nikolay buskin
ucsd
every rational hodge isometry between two k3 surfaces is algebraic
abstract:
we prove that cohomology classes in $h^{2,2}(s_1\times s_2)$ of hodge isometries $$\psi \colon h^2(s_1,\mathbb q)\rightarrow h^2(s_2,\mathbb q)$$ between any two projective complex $k3$ surfaces $s_1$ and $s_2$ are polynomials in chern classes of coherent analytic sheaves. consequently, the cohomology class of $\psi$ is algebraic this proves a conjecture of shafarevich announced at icm in 1970.
organizer: james mckernan
october 14, 2016
4:30 pm
ap&m 5829
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