Wenbo Niu : On syzygies of Calabi-Yau varieties and pluricanonical bundles of varieties of general type

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

March 7, 2018, 4 p.m.

In

SEO 427

Abstract

In this talk, we will discuss problems related to projective normality and higher syzygies for powers of line bundles on nonsingular projective varieties. We focus on two situations: powers of ample line bundles on Calabi-Yau varieties and pluricanonical divisors on varieties of general type. These two cases follow the same approach to consider how Arbarello-Sernesi module associated to the variety can be generated as a graded module, which can further be reduced to consider the surjectivity of multiplication maps of line bundles.