46 citations · 62 across the 9 of their papers we have counts for
10 papers
K3 surfaces and cubic fourfolds with Abelian motive
Hanine Awada, Michele Bolognesi, Robert Laterveer +1
We show that cubic fourfolds with lattice of algebraic 2-cycles of rank greater than 19 have abelian and finite dimensional (in the sense of Kimura) Chow motive. This also implies…
A family of special cubic fourfolds with motive of abelian type
Hanine Awada, Michele Bolognesi, Claudio Pedrini
In this short note, we show that there exist one dimensional families of cubic fourfolds with Chow motive of abelian type and finite dimensional inside every Hassett divisor of spe…
The transcendental motive of a cubic fourfold
Michele Bolognesi, Claudio Pedrini
In this note we introduce the transcendental part of the motive of a cubic fourfold and prove that it is isomorphic to the (twisted) transcendental part …
On the rationality and the finite dimensionality of a cubic fourfold
Claudio Pedrini
Let be a cubic fourfold in . We prove that, assuming the Hodge conjecture for the product , where is a complex surface, and the finite dimensionality o…
Bloch's conjecture and valences of correspondences for K3 surfaces
Claudio Pedrini
Bloch's conjecture for a surface over an algebraically closed field states that every homologically trivial correspondence acts as 0 on the Albanese kernel , wh…
Some surfaces of general type for which Bloch's conjecture holds
Claudio Pedrini, Charles Weibel
We give many examples of surfaces of general type with for which Bloch's conjecture holds, for all values of except 9. Our surfaces are equipped with an involution.