A1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb A}^1$$\end{document}-curves on affine complete intersections

被引：0
作者：
Xi Chen
Yi Zhu
机构：
[1] University of Alberta,Pure Mathematics
[2] Univeristy of Waterloo Waterloo,undefined
来源：
Selecta Mathematica | 2018年 / 24卷 / 4期
关键词：
Rational curves; Hypersurfaces; Log varieties; Rational equivalence; Chow groups; Primary 14J28; Secondary 14E05;
D O I：
10.1007/s00029-018-0421-3
中图分类号：
学科分类号：
摘要：
We generalize the results of Clemens, Ein, and Voisin regarding rational curves and zero cycles on generic projective complete intersections to the logarithmic setup.
引用
收藏
页码：3823 / 3834
页数：11
相关论文
共 14 条
[1]  
Chen X(1999)Rational curves on J. Algebr. Geom. 8 245-278
[2]  
Chen X(2004) surfaces Commun. Contemp. Math. 6 513-559
[3]  
Clemens H(1986)On algebraic hyperbolicity of log varieties Ann. Sci. École Norm. Sup. 19 629-636
[4]  
Chen Q(2014)Curves on generic hypersurfaces Algebr. Geom. 1 558-572
[5]  
Zhu Y(1988)Very free curves on Fano complete intersections Invent. Math. 94 163-169
[6]  
Ein L(1991)Subvarieties of generic complete intersections II. Math. Ann. 289 465-471
[7]  
Ein L(2012)Subvarieties of generic complete intersections Invent. Math. 188 713-727
[8]  
Li J(2007)Rational curves on K3 surfaces J. Reine Angew. Math. 611 221-235
[9]  
Liedtke C(1994)On the logarithmic Kobayashi conjecture Math. Ann. 299 77-103
[10]  
Pacienza G(1996)Variations de structure de Hodge et zéro-cycles sur les surfaces générales J. Differ. Geom. 44 200-213
12