A note on Bondal's conjecture
Algebraic Geometry
2026-04-09 v1
Abstract
We prove that the connection vector fields associated to ample Poisson line bundles are not locally hamiltonian unless the Poisson structure is zero. We use this result to provide further evidence on Bondal's conjecture regarding the dimensions of the degeneracy loci of a holomorphic Fano Poisson manifold.
Keywords
Cite
@article{arxiv.2604.07217,
title = {A note on Bondal's conjecture},
author = {Darío Aza},
journal= {arXiv preprint arXiv:2604.07217},
year = {2026}
}