A Compactification of the Space of Parametrized Rational Curves in Grassmannians

2011/08/10 by Yijun Shao, Shao, Yijun
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1108.2299

36 pages

arxiv created 2011/08/10 · arxiv updated 2011/08/12

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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