A Compactification of the Space of Parametrized Rational Curves in Grassmannians

Details A Compactification of the Space of Parametrized Rational Curves in Grassmannians A Compactification of the Space of Parametrized Rational Curves in Grassmannians

2011-08-10

arxiv.org/abs/1108.2299v1

Mathematics

Algebraic Geometry

36 pages

Scientific paper

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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