Algebraic Geometry Seminar
University of Arkansas
On syzygies of Calabi-Yau varieties and pluricanonical bundles of varieties of general type
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.
Wednesday March 7, 2018 at 4:00 PM in SEO 427