Asymptotic behaviour of rational curves

Details Asymptotic behaviour of rational curves Asymptotic behaviour of rational curves

2011-07-19

arxiv.org/abs/1107.3824v1

Mathematics

Algebraic Geometry

This is a revised and slightly expanded version of notes for a course delivered during the summer school on rational curves he

Scientific paper

We investigate the asympotic behaviour of the moduli space of morphisms from
the rational curve to a given variety when the degree becomes large. One of the
crucial tools is the homogeneous coordinate ring of the variey. First we
explain in details what happens in the toric case. Then we examine the general
case.

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