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  Spaces of low-degree rational curves on Fano complete intersections

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-DA38-5 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-E1E5-8
Genre: Journal Article

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Pan_Spaces of low-degree rational curves on Fano complete intersections_2020.pdf (Publisher version), 741KB
 
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ArXiv_1310.3506.pdf (Preprint), 384KB
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Preprint title: Geometry of rational curves on low degree complete intersections
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https://doi.org/10.1093/imrn/rnz026 (Publisher version)
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 Creators:
Pan, Xuanyu1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 35
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1093/imrn/rnz026
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Title: International Mathematics Research Notices
  Abbreviation : IMRN
Source Genre: Journal
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Publ. Info: Oxdord University Press
Pages: - Volume / Issue: 2020 (24) Sequence Number: - Start / End Page: 10346 - 10380 Identifier: -