Finite quotients of three-dimensional complex tori

I will report on a current project with Patrick Graf (Bayreuth). Using Graf's recent results about the algebraic approximation of Kähler threefolds of Kodaira dimension zero, we show that a three-dimensional compact, connected Kähler space X with isolated canonical singularities is the finite quotient of a complex torus if and only if the first and second Chern classes of X vanish. This brings together an old theorem of Yau (where X is smooth) and a theorem of Shepherd-Barron and Wilson (where X is projective).

What	Emmy Noether Kolloquium
When	Jul 19, 2016 from 01:00 pm to 02:00 pm
Where	Hilbertraum, Mainz
Contact Name	Ruddat
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