4 papers
Optimality of the Prym-Tyurin construction for
Philip Engel, Olivier de Gaay Fortman, Stefan Schreieder
We prove that on a very general principally polarized abelian 6-fold, the smallest multiple of the minimal curve class which can be represented by an algebraic cycle is 6.
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…
Combinatorics and Hodge theory of degenerations of abelian varieties: A survey of the Mumford construction
Philip Engel, Olivier de Gaay Fortman, Stefan Schreieder
We survey the Mumford construction of degenerating abelian varieties, with a focus on the analytic version of the construction, and its relation to toric geometry. Moreover, we stu…
Boundedness of some fibered K-trivial varieties
Philip Engel, Stefano Filipazzi, François Greer +2
We prove that irreducible Calabi-Yau varieties of a fixed dimension, admitting a fibration by abelian varieties or primitive symplectic varieties of a fixed analytic deformation cl…