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20052026
most citedA universal characterization of higher algebraic K-theory

124 citations · 402 across the 57 of their papers we have counts for

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math.KT2016★ 1 cited

A1-homotopy invariants of corner skew Laurent polynomial algebras

Goncalo Tabuada

In this note we prove some structural properties of all the A1-homotopy invariants of corner skew Laurent polynomial algebras. As an application, we compute de mod-l algebraic K-th…

math.KT2015

Algebraic K-theory with coefficients of cyclic quotient singularities

Goncalo Tabuada

In this short note, by combining the work of Amiot-Iyama-Reiten and Thanhoffer de Volcsey-Van den Bergh on Cohen-Macaulay modules with the previous work of the author on orbit cate…

math.KT2015

A note on secondary K-theory

Goncalo Tabuada

We prove that Toen's secondary Grothendieck ring is isomorphic to the Grothendieck ring of smooth proper pretriangulated dg categories previously introduced by Bondal, Larsen and L…

math.KT2015★ 5 cited

A1-homotopy invariance of algebraic K-theory with coefficients and Kleinian singularities

Goncalo Tabuada

C. Weibel and Thomason-Trobaugh proved (under some assumptions) that algebraic K-theory with coefficients is A1-homotopy invariant. In this article we generalize this result from s…

math.KT2014★ 1 cited

A1-homotopy invariants of dg orbit categories

Goncalo Tabuada

Let A be a dg category, F:A->A a dg functor inducing an equivalence of categories in degree-zero cohomology, and A/F the associated dg orbit category. For every A1-homotopy invaria…

math.KT2013

Additive invariants of finite dimensional algebras of finite global dimension

Marcello Bernardara, Goncalo Tabuada

Let k be a perfect field and A a finite dimensional k-algebra of finite global dimension (e.g. the path algebra of a finite quiver without oriented cycles). Making use of the recen…