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A Characterization of Projective Varieties of General Type

Gilberto Bini
Institution: 
Milano Statale
Location: 
A-139
Schedule: 
Thursday, November 22, 2018 - 16:00
Abstract: 

Let X be a smooth projective variety over the field of complex numbers. X is said to be of general type if and only if the canonical bundle is big. In this talk, we will give a new characterization of varieties of general type via a specific birational invariant, the pseudo-effective dimension of X. In particular, we will prove that X is of general type if and only if the restriction of the canonical divisor of X to any moving curve C is ample. 

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