Remarks on Hard Lefschetz conjectures on Chow groups Dedicated in celebration of SCIENCE CHINA on the occasion of its 60th birthday  

作　　者：FU BaoHua Institute of Mathematics, Academy of Mathematic and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 

出　　处：《Science China Mathematics》2010年第1期105-114,共10页中国科学：数学（英文版）

摘　　要：We propose two conjectures of Hard Lefschetz type on Chow groups and prove them for some special cases. For abelian varieties, we show that they are equivalent to the well-known conjectures of Beauville and Murre.We propose two conjectures of Hard Lefschetz type on Chow groups and prove them for some special cases. For abelian varieties, we show that they are equivalent to the well-known conjectures of Beauville and Murre.

关 键 词：Chow groups ABELIAN varieties Bloch-Beilinson CONJECTURES Beauville CONJECTURE Murre CONJECTURE 

分 类 号：O187.2[理学—数学]