event
Thursday 10 Mar 2022: Number Theory, Algebra and Geometry Seminar: Homological equivalence coincides with algebraic equivalence for codimension 2 cycles on supersingular abelian varieties over the algebraic closure of a finite field.
Dr Oli Gregory - University of Exeter
Harrison 203 14:30-15:30
It is a theorem of Matsusaka that algebraic and homological equivalence coincide for codimension 1 cycles (i.e. divisors). In higher codimension, however, Griffiths has shown that algebraic and homological equivalence are typically very different. After recalling some background, I will prove that algebraic equivalence coincides with homological equivalence for codimension 2 cycles on supersingular abelian varieties over the algebraic closure of a finite field.
