Moduli theoretic compactifications of the space of smooth rational curves

Tue, 10/02/2009
15:45
Young-Houn Kiem (Seoul National University) Algebraic and Symplectic Geometry Seminar Add to calendar L3
The space of smooth rational curves of degree d in projective space admits various moduli theoretic compactifications via GIT, stable maps, stable sheaves, Hilbert scheme and so on. I will discuss how these compactifications are related by explicit blow-ups and -downs for d<4.