Which properties of the canonical class depend only on its first Chern class?

Abstract: Abstract: Given a projective variety X with mild singularities and a line bundle L on it, it is a natural question to determine which properties of L are encoded by its first Chern class. I will argue that most of the interesting properties of the canonical bundle of X, such as its effectivity or semiampleness, are indeed almost always encoded by its first Chern class. The results are a consequence of the Minimal Model Program and Hodge theory, and are new even on surfaces. This is joint work with Thomas Peternell.

algebraic geometrydifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

The London geometry and topology seminar

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