Asian Journal of Mathematics
Volume 20 (2016)
A compactification of the space of parametrized rational curves in Grassmannians
Pages: 919 – 956
We construct a nonsingular projective variety that explicitly compactifies the space of parametrized rational curves in a Grassmanian such that the boundary is a divisor with simple normal crossings. This compactification is obtained by blowing up a Quot scheme successively along its appropriate subschemes.
compactification, quot scheme, blow-up, normal crossing divisor, moduli space
2010 Mathematics Subject Classification