On the Hard Lefschetz Conjecture for Lawson Homology

REFERENCES

• Beauville , A. ( 1983 ). Quelques remarques sur la transformation de Fourier dans l'anneau de Chow d'une variété abélienne . In: Lecture Notes in Mathematics , Vol. 1016 . pp. 238 – 260 .
   Google Scholar
• Beauville , A. ( 2010 ). The action of SL 2 on abelian varieties . J. Ramanujan Math. Soc. 25 ( 3 ): 253 – 263 .
   Google Scholar
• Beilinson , A. ( 2010 ). Remarks on Grothendieck's standard conjectures. arXiv: 1006.1116v2 [math.AG] .
   Google Scholar
• Deninger , C. , Murre , J. P. ( 1991 ). Motivic decomposition of abelian schemes and the Fourier transform . J. Reine Angew. Math. 422 : 201 – 219 .
   Web of Science ®Google Scholar
• Friedlander , E. M. ( 1991 ). Algebraic cycles chow varieties, and Lawson homology . Compositio Math. 77 ( 1 ): 55 – 93 .
   Web of Science ®Google Scholar
• Friedlander , E. M. , Gabber , O. ( 1991 ). Cycles spaces and intersection theory . In: Topological Methods in Modern Mathematics . Stony Brook , NY , pp. 25 – 370 .
   Google Scholar
• Friedlander , E. M. , Haesemeyer , Walker , M. E. ( 2004 ). Techniques, computations, and conjectures for semi-topological K-theory . Math. Ann. 330 : 759 – 807 .
   Web of Science ®Google Scholar
• Friedlander , E. M. , Mazur , B. (1994). Filtrations on the homology of algebraic varieties. Mem. Amer. Math. Soc. 110(529): x +110. With an appendix by Daniel Quillen.
   Web of Science ®Google Scholar
• Fu , B. ( 2010 ). Remarks on Hard Lefschetz conjectures on Chow groups . Sci. China Math. 53 ( 1 ): 105 – 114 .
   Web of Science ®Google Scholar
• Hu , W. , Li , L. ( 2011 ). Lawson homology, morphic cohomology and Chow motives . Math. Nachr. 284 ( 8–9 ): 1024 – 1047 .
   Web of Science ®Google Scholar
• Hu , W. ( 2011 ). Lawson homology for abelian varieties. arXiv: 1110.3505v1 [math.AG] .
   Google Scholar
• Lawson , H. B. Jr. ( 1989 ). Algebraic cycles and homotopy theory . Ann. of Math. 129 : 253 – 291 .
   Web of Science ®Google Scholar
• Murre , J. P. ( 1993 ). On a conjectural filtration on the Chow groups of an algebraic variety I. The general conjectures and some examples . Indag. Math. (N.S.) 4 : 177 – 188 .
   Web of Science ®Google Scholar
• Voineagu , M. ( 2010 ). Cylindrical homomorphisms and Lawson homology . J. K-Theory 1 – 34 .
   Google Scholar
• Communicated by C. Pedrini.
   Google Scholar