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Remarks on Hard Lefschetz conjectures on Chow groups Dedicated in celebration of SCIENCE CHINA on the occasion of its 60th birthday |
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| Authors: | FU BaoHua Institute of Mathematics Academy of Mathematic Systems Science Chinese Academy of Sciences Beijing China |
| Institution: | FU BaoHua Institute of Mathematics,Academy of Mathematic , Systems Science,Chinese Academy of Sciences,Beijing 100190,China |
| Abstract: | 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. |
| Keywords: | Chow groups abelian varieties Bloch-Beilinson conjectures Beauville conjecture Murre conjecture |
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