Friedlander–Mazur vanishing conjecture for Lawson homology

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.

Sources & referencesView supporting material

Primary source

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

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.