Moduli spaces of curves with non-special divisors

Mardi 21 novembre 2017 14:15-15:15 - Alexander Polishchuk - University of Oregon

Résumé : In this talk I will discuss the moduli spaces of pointed curves with possibly non-nodal singularities such that the marked points form a nonspecial ample divisor. I will show that such curves have natural projective embeddings, with a canonical choice of homogeneous coordinates up to rescaling. Using Groebner bases technique this leads to the identification of the moduli with the quotient of an affine scheme by the torus action. These moduli spaces also have a natural interpretation in terms of the Krichever map.
As an application, I will construct a birational morphism contracting the Weierstrass divisor in M_g,1 to a point.

Lieu : Bât. 425, salle 117-119

Moduli spaces of curves with non-special divisors  Version PDF