Spaces of Low-Degree Rational Curves on Fano Complete Intersections

doi:10.1093/imrn/rnz026

CSpace

	Spaces of Low-Degree Rational Curves on Fano Complete Intersections
	Pan, Xuanyu 1,2
	2020-12-01
发表期刊	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN	1073-7928
卷号	2020 期号:24 页码:10346-10380
摘要	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.
DOI	10.1093/imrn/rnz026
收录类别	SCI
语种	英语
资助项目	NSFC[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000605103800017
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57935
专题	中国科学院数学与系统科学研究院
通讯作者	Pan, Xuanyu
作者单位	1.Chinese Acad Sci, Inst Math, AMSS, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China 2.Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
推荐引用方式 GB/T 7714	Pan, Xuanyu. Spaces of Low-Degree Rational Curves on Fano Complete Intersections[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2020,2020(24):10346-10380.
APA	Pan, Xuanyu.(2020).Spaces of Low-Degree Rational Curves on Fano Complete Intersections.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2020(24),10346-10380.
MLA	Pan, Xuanyu."Spaces of Low-Degree Rational Curves on Fano Complete Intersections".INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2020.24(2020):10346-10380.