Optimality of the Prym-Tyurin construction for $\mathcal{A}_6$
Algebraic Geometry
2025-12-05 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.2512.04902,
title = {Optimality of the Prym-Tyurin construction for $\mathcal{A}_6$},
author = {Philip Engel and Olivier de Gaay Fortman and Stefan Schreieder},
journal= {arXiv preprint arXiv:2512.04902},
year = {2025}
}
Comments
15 pages, 1 figure