Spaces of low-degree rational curves on Fano complete intersections

Pan, Xuanyu

doi:10.1093/imrn/rnz026

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Spaces of low-degree rational curves on Fano complete intersections

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Pan, Xuanyu
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1093/imrn/rnz026
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ArXiv_1310.3506.pdf
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Citation

Pan, X. (2020). Spaces of low-degree rational curves on Fano complete intersections. International Mathematics Research Notices, 2020(24), 10346-10380. doi:10.1093/imrn/rnz026.

Cite as: https://hdl.handle.net/21.11116/0000-0007-DA38-5

Abstract

In this paper, we prove that the moduli space of low degree rational curves on a lowdegree 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.