3 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
Rationality of hypersurfaces
Stefan Schreieder
We survey recent developments on rationality problems for algebraic varieties, with a particular emphasis on cycle-theoretic and combinatorial methods and their applications to hyp…