Friedlander–Mazur vanishing conjecture for Lawson homology

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Let XX be a complex smooth projective variety of dimension dd, and let LqHn(X)L_qH_n(X) denote its Lawson homology. Friedlander–Mazur conjecture. For every qq, one has

LqHn(X)=0L_qH_n(X)=0

for every n>2dn>2d. This vanishing is a consequence predicted by the generalized cycle-map conjectures in the high-degree range and concerns the disappearance of Lawson homology above the topological dimension bound. The source presents it as a conjecture due to E. Friedlander and B. Mazur.

References

Primary source

Mircea Voineagu, “Cylindrical Homomorphisms and Lawson Homology”, arXiv:0904.3374 (2009).

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