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Spaces of Low-Degree Rational Curves on Fano Complete Intersections

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In this paper, we prove that the moduli space of low degree rational curves on a low-degree complete intersection passing several suitable points is a complete intersection. The proof involves… Click to show full abstract

In this paper, we prove that the moduli space of low degree rational curves on a low-degree complete intersection passing several suitable points is a complete intersection. The proof involves some relationships among some divisors on the Kontsevich spaces, advanced techniques of deformations of rational curves, and classical projective geometry.

Keywords: rational curves; curves fano; fano complete; spaces low; low degree; degree rational

Journal Title: International Mathematics Research Notices
Year Published: 2019

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