49 citations · 223 across the 37 of their papers we have counts for
3 papers · 2 filters
Distinguished models of intermediate Jacobians
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
We show that the image of the Abel-Jacobi map admits functorially a model over the field of definition, with the property that the Abel-Jacobi map is equivariant with respect to th…
Parameter spaces for algebraic equivalence
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
A cycle is algebraically trivial if it can be exhibited as the difference of two fibers in a family of cycles parameterized by a smooth scheme. Over an algebraically closed field,…
Derived equivalence, Albanese varieties, and the zeta functions of 3-dimensional varieties
Katrina Honigs, Jeff Achter, Sebastian Casalaina-Martin +1
We show that any derived equivalent smooth, projective varieties of dimension 3 over a finite field have equal zeta functions. This result is an application of the e…