I. Dolgachev: Rational self-maps of moduli spaces of algebraic curves.

posted Mar 15, 2012, 5:19 AM by Tony Shaska   [ updated Apr 11, 2012, 5:55 PM ]

I will discuss some known geometric constructions of self-maps of finite degree > 1 of the moduli space of algebraic curves of genus g. An example of such a map in the case g = 1 is the Hessian map of degree 3 which assigns to the isomorphism class of plane cubic curve F = 0 the isomorphism class of the plane cubic curve defined by the Hessian determinant of F.