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math.AG2012
Jacobians of noncommutative motives
Matilde Marcolli, Goncalo Tabuada
In this article one extends the classical theory of (intermediate) Jacobians to the "noncommutative world". Concretely, one constructs a Q-linear additive Jacobian functor J(-) fro…
math.AG2012★ 1 cited
Noncommutative Artin motives
Matilde Marcolli, Goncalo Tabuada
In this article we introduce the categories of noncommutative (mixed) Artin motives. In the pure world, we start by proving that the classical category AM(k) of Artin motives (over…
math.AG2012
From exceptional collections to motivic decompositions via noncommutative motives
Matilde Marcolli, Goncalo Tabuada
Making use of noncommutative motives we relate exceptional collections (and more generally semi-orthogonal decompositions) to motivic decompositions. On one hand we prove that the…