Harvard-MIT Algebraic Geometry Seminar |
| Compact Moduli of Singular Curves Click here for pdf |
| David Smyth Harvard |
| Deligne and
Mumford compactified the space of smooth curves by identifying a class
of singular curves, namely the Deligne-Mumford stable curves, with the
property that every incomplete 1-parameter family of smooth curves has
a unique limit contained in that class. In this talk, we will give a
general recipe for producing alternate classes of singular curves with
this same unique-limit property. (Schubert's moduli space of
pseudostable curves and Hassett's moduli spaces of weighted pointed
curves will arise as special cases of this construction.) |
Tuesday December 11th 3:00 p.m. MIT (2-142) |