Algebraic Geometry Seminar
Jinhyung Park
KAIST
Syzygies of tangent developable surfaces and K3 carpets via secant varieties
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.
Monday March 13, 2023 at 12:00 PM in 636 SEO