most citedMatroids and the integral Hodge conjecture for abelian varieties

5 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.AG2026

On the degree of subvarieties on abelian varieties

Philip Engel, Stefan Schreieder

Let be a very general principally polarized abelian variety of dimension , and consider the minimal cohomology class for . We show that the minimal p…

math.AG2025

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.

math.AG2025★ 5 cited

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…

math.AG2025

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…

math.AG2025

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…