Giuseppe Ancona ; Dragos Fratila - Ngô support theorem and polarizability of quasi-projective commutative group schemes

epiga:12345 - Épijournal de Géométrie Algébrique, July 16, 2024, Volume 8 - https://doi.org/10.46298/epiga.2024.12345
Ngô support theorem and polarizability of quasi-projective commutative group schemesArticle

Authors: Giuseppe Ancona ; Dragos Fratila

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 Ngô. This extends the applicability of Ngô's support theorem to new cases, for example to Lagrangian fibrations with integral fibers and has consequences to the construction of algebraic classes.

Comment: comments welcome

https://doi.org/10.46298/epiga.2024.12345
Source: arXiv.org:2304.07729
Volume: Volume 8
Published on: July 16, 2024
Accepted on: February 25, 2024
Submitted on: September 28, 2023
Keywords: Mathematics - Algebraic Geometry
Licence: Attribution-Non Commercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Funding:
    Source : OpenAIRE Graph
  • Periods in Arithmetic and Motivic Geometry; Funder: French National Research Agency (ANR); Code: ANR-18-CE40-0017

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