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math.AG2018★ 1 cited
Conservativity of realizations implies that numerical motives are Kimura-finite and motivic zeta functions are rational
Mikhail V. Bondarko
We prove: if the (étale or de Rham) realization functor is conservative on the category of Voevodsky motives with rational coefficients then motivic zeta functions of arb…
math.AG2018★ 6 cited
Gersten weight structures for motivic homotopy categories; retracts of cohomology of function fields, motivic dimensions, and coniveau spectral sequences
Mikhail V. Bondarko
For any cohomology theory that can be factorized through (the Morel-Voevodsky's triangulated motivic homotopy category) we establish the -functoriali…