Essential dimension of isogenies
Algebraic Geometry
2025-03-19 v6
Abstract
We give a lower bound for the essential dimension of isogenies of complex abelian varieties. The bound is sharp in many cases. In particular, the multiplication-by- map is incompressible for every , confirming a conjecture of Brosnan.
Cite
@article{arxiv.2402.15362,
title = {Essential dimension of isogenies},
author = {János Kollár and Ziquan Zhuang},
journal= {arXiv preprint arXiv:2402.15362},
year = {2025}
}
Comments
12 pages. Small changes to the text. To appear in PAMQ (special issue in honor of James McKernan's 60th birthday)