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Luigi Lombardi "Pushforwards of pluricanonical bundles via morphisms to abelian varieties.""
Start Date: 10/17/2017Start Time: 4:30 PM
End Date: 10/17/2017End Time: 5:30 PM
Event Description:
Speaker: Luigi Lombardi, Stony Brook University

Title: A decomposition theorem for the direct images of pluricanonical bundles to abelian varieties

Abstract: I will describe a direct-sum decomposition in pull-backs of ample sheaves for the pushforwards of pluricanonical bundles via morphisms from smooth projective varieties to an abelian varieties. The techniques to proving this decomposition rely on generic vanishing theory, and the use of semipositive singular hermitian metrics. Time permitting, I will provide an application of the above decomposition towards the global generation and very ampleness properties of pluricanonical divisors defined on singular varieties of general type. The talk is based on a recent joint work with M. Popa and C. Schnell.
Location Information:
Homewood - Krieger
Room: 306
Mathematics Department
Algebraic Geometry Seminar

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