124 citations · 402 across the 57 of their papers we have counts for
11 papers · 1 filter
Kimura-finiteness of quadric fibrations over smooth curves
Goncalo Tabuada
In this short note, making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura…
Additive invariants of orbifolds
Goncalo Tabuada, Michel Van den Bergh
In this article, using the recent theory of noncommutative motives, we compute the additive invariants of orbifolds (equipped with a sheaf of Azumaya algebras) using solely "fixed-…
Recent developments on noncommutative motives
Goncalo Tabuada
This survey covers some of the recent developments on noncommutative motives and their applications. Among other topics, we compute the additive invariants of relative cellular spa…
A note on the Schur-finiteness of linear sections
Goncalo Tabuada
Making use of the recent theory of noncommutative motives, we prove that Schur-finiteness in the setting of Voevodsky's mixed motives is invariant under homological projective dual…
Vanishing of the negative homotopy K-theory of quotient singularities
Goncalo Tabuada
Making use of Gruson-Raynaud's technique of "platification par eclatement", Kerz and Strunk proved that the negative homotopy K-theory groups of a Noetherian scheme X of Krull dime…
A note on secondary K-theory II
Goncalo Tabuada
This note is the sequel to [A note on secondary K-theory. Algebra and Number Theory 10 (2016), no. 4, 887-906]. Making use of the recent theory of noncommutative motives, we prove…