Groebner techniques for ideals of ribbons

David Swinarski, October 8th, 2013

Ribbons are double structures on P1 that arise as limits of canonical curves. They were
first studied under this name in the 1990s by Bayer, Eisenbud, and Fong in connection
with Green's Conjecture (now Voisin's Theorem). They also appear in Alper, Fedorchuk,
and Smyth's recent proof of finite Hilbert stability for canonical curves. I will discuss
some Groebner basis techniques that may be used to study degenerations of ribbons and
discuss applications to computation of state polytopes.