Standard conjectures for abelian fourfolds
- Resource Type
- Working Paper
- Authors
- Ancona, Giuseppe
- Source
- Subject
- Mathematics - Algebraic Geometry
Mathematics - Number Theory
- Language
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 coincides with l-adic homological equivalence on A for infinitely many l. The approach consists in reformulating this question into a p-adic problem and then using p-adic Hodge Theory to solve it.
Comment: Final version, published online in Inventiones Mathematicae. The p-adic part of the paper has been improved following ideas of the referee