Mikhail V. Bondarko

ℤ[1/p]-motivic resolution of singularities

The main goal of this paper is to deduce (from a recent resolution of singularities result of Gabber) the following fact: (effective) Chow motives with

Weights for Relative Motives: Relation with Mixed Complexes of Sheaves

Z[1/p]

Classification of finite commutative group schemes over complete discrete valuation rings; the tangent space and semistable reduction of Abelian varieties

-coefficients over a perfect field

Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do

k

Detecting the c-effectivity of motives, their weights, and dimension via Chow-weight (co)homology: a "mixed motivic decomposition of the diagonal"

of characteristic

On constructing weight structures and extending them to idempotent completions

p

On relative

generate the category

K

DM^{eff}_{gm}[1/p]

-motives, weights for them, and negative

(of effective geometric Voevodskys motives with

K

Z[1/p]