Seminari del Dipartimento
Geometria Green's Conjecture via Koszul modules Gavril Farkas
19-09-2019 - 14:30 Largo San Leonardo Murialdo,1 - Pal.C - Aula 211
Using ideas from geometric group theory we provide a novel approach to Green's Conjecture on syzygies of canonical curves. Via a strong vanishing result for Koszul modules we deduce that a general canonical curve of genus g satisfies Green's Conjecture when the characteristic is zero or at least (g+2)/2. Our results are new in positive characteristic (and answer positively a conjecture of Eisenbud and Schreyer), whereas in characteristic zero they provide a different proof for theorems first obtained in two landmark papers by |