Seminar Algebra and Geometry: Vladimir Lazic (Bonn)

The existence of morphisms from a Calabi-Yau manifold

Given an algebraic variety, finding non-trivial morphisms to other varieties is one of the fundamental problems in algebraic geometry. Mori and others solved this problem in the 1980s for varieties whose canonical class is not non-negative on all curves. The question remains open for other varieties. However, in this talk I will report on a recent progress on this problem in a joint work with Thomas Peternell. I will concentrate on varieties with trivial canonical class and on Calabi-Yau manifolds in particular.

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