Positivity of Higgs Vector Bundles
Algebraic Geometry
2026-05-22 v1
Abstract
In \cite{BCO25}, Bruzzo, Capasso and Otero extended the notion of ampleness of vector bundles to the more general context of Higgs bundles. But the ampleness of Higgs bundles did not coincide with the ampleness of vector bundles when the Higgs field is zero. We modify the definition of ample Higgs bundles that results in removal of this discrepancy. Invoking this definition, we study various properties of Higgs ample vector bundles. In particular, we prove a Barton-Kleimann type criterion to characterize the Higgs ample vector bundles.
Cite
@article{arxiv.2605.22402,
title = {Positivity of Higgs Vector Bundles},
author = {Indranil Biswas and Snehajit Misra and Nabanita Ray},
journal= {arXiv preprint arXiv:2605.22402},
year = {2026}
}
Comments
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