A Compactification of the Space of Parametrized Rational Curves in Grassmannians

Abstract

We construct an explicit compactification for the space of parametrized rational curves in a Grassmanian by a nonsingular projective variety such that the boundary is a divisor with simple normal crossings. This compactification is obtained by blowing up a Quot scheme successively along appropriate subschemes.

36 pages

References in corpus (1)

• Construction of Hilbert and Quot Schemes

Cited by in corpus (2)

• Relative Resolution and Its Applications
• On birational geometry of the space of parametrized rational curves in Grassmannians