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arxiv: 1108.2860 · v2 · pith:FNZZ7DM6new · submitted 2011-08-14 · 🧮 math.AG

Rational curves in Fano hypersurfaces and tropical curves

classification 🧮 math.AG
keywords curvesfanorationaltropicalcompletedegenerationgenerallyhypersurface
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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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