5 citations · 6 across the 4 of their papers we have counts for
4 papers
Matroids and the integral Hodge conjecture for abelian varieties
Philip Engel, Olivier de Gaay Fortman, Stefan Schreieder
We prove that the cohomology class of any curve on a very general principally polarized abelian variety of dimension at least 4 is an even multiple of the minimal class. The same h…
Abelian varieties with no power isogenous to a Jacobian
Olivier de Gaay Fortman, Stefan Schreieder
For a curve of genus at least four which is either very general or very general hyperelliptic, we classify all ways in which a power of its Jacobian can be isogenous to a product o…
On the integral Hodge conjecture for real abelian threefolds
Olivier de Gaay Fortman
We prove the real integral Hodge conjecture for several classes of real abelian threefolds. For instance, we prove the property for real abelian threefolds whose real locus $A(…
Integral Fourier transforms and the integral Hodge conjecture for one-cycles on abelian varieties
Thorsten Beckmann, Olivier de Gaay Fortman
We prove the integral Hodge conjecture for one-cycles on a principally polarized complex abelian variety whose minimal class is algebraic. In particular, any product of Jacobians o…