Ng\^o support theorem and polarizability of quasi-projective commutative group schemes
Algebraic Geometry
2026-05-27 v3
Abstract
We prove that any commutative group scheme over an arbitrary base scheme of finite type over a field with connected fibers and admitting a relatively ample line bundle is polarizable in the sense of Ng\^o. This extends the applicability of Ng\^o's support theorem to new cases, for example to Lagrangian fibrations with integral fibers and has consequences to the construction of algebraic classes.
Keywords
Cite
@article{arxiv.2304.07729,
title = {Ng\^o support theorem and polarizability of quasi-projective commutative group schemes},
author = {Giuseppe Ancona and Dragos Fratila},
journal= {arXiv preprint arXiv:2304.07729},
year = {2026}
}
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