Jinhyung Park : Syzygies of tangent developable surfaces and K3 carpets via secant varieties

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

March 13, 2023, noon

In

636 SEO

Abstract

Recently, Aprodu-Farkas-Papadima-Raicu-Weyman and Raicu-Sam obtained new proofs of generic Green's conjecture by studying syzygies of tangent developable surfaces of rational normal curves and K3 carpets. Using secant varieties of rational normal curves, we give simple geometric proofs of their results. As a consequence, we obtain a quick proof of generic Green's conjecture. We also discuss the syzygies of tangent developable surfaces of arbitrary smooth projective curves.