3 papers
math.AG2018
Standard conjectures for abelian fourfolds
Giuseppe Ancona
Let A be an abelian fourfold. We prove the Standard Conjecture of Hodge type for A. By combining this result with a theorem of Clozel we deduce that numerical equivalence on A coin…
math.AG2017
Conservativity of realizations on motives of abelian type over finite fields
Giuseppe Ancona
We show that the l-adic realization functor is conservative when restricted to the Chow motives of abelian type over a finite field. A weak version of this conservativity result ex…
math.AG2016
Numerical functors on Voevodsky's motives
Giuseppe Ancona
We study mixed versions of the classical quotient functor from Chow motives to numerical motives. We compare two natural definitions, which turn out to be very different. We invest…