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arXiv · 1108.2860

Rational curves in Fano hypersurfaces and tropical curves

Takeo Nishinou
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Abstract

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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Takeo Nishinou. 2011-08-14. Rational curves in Fano hypersurfaces and tropical curves. https://arxiv.org/abs/1108.2860

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