Rational curves in Fano hypersurfaces and tropical curves

Details Rational curves in Fano hypersurfaces and tropical curves Rational curves in Fano hypersurfaces and tropical curves

2011-08-14

arxiv.org/abs/1108.2860v2

Mathematics

Algebraic Geometry

v2. The proof improved

Scientific paper

Using ideas from the theory of tropical curves and degeneration, we prove
that any Fano hypersurface (and more generally Fano complete intersections) is
swept by at most quadratic rational curves.

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