On the Space of Conics on Complete Intersections  

作　　者：Hong R.Zong 

机构地区：[1]Department of Mathematics,Princeton University,Princeton,NJ 08544-1000,USA

出　　处：《Communications in Mathematics and Statistics》2014年第1期33-45,共13页数学与统计通讯（英文）

摘　　要：We get sharp degree bound for generic smoothness and connectedness of the space of lines and conics in low degree complete intersections which generalizes the old work about Fano scheme of lines on hypersurfaces.As a consequence,we prove that for a Fano complete intersection X with index≥2,the 1-Griffiths group generated by algebraic 1-cycles homologous to 0 modulo algebraic equivalence is trivial,which is a conjecture for general rationally connected varieties.

关 键 词：Rational curves Fano varieties Cycles 

分 类 号：O18[理学—数学]