A Compactification of the Space of Parametrized Rational Curves in Grassmannians

preprint2011arXivOpen access

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.

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