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arXiv · 2604.07217

A note on Bondal's conjecture

Darío Aza
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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.

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Darío Aza. 2026-04-08. A note on Bondal's conjecture. https://arxiv.org/abs/2604.07217

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