Ngô support theorem and polarizability of quasi-projective commutative group schemes
Épijournal de Géométrie Algébrique, Tome 8 (2024)
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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.
@article{10_46298_epiga_2024_12345,
author = {Ancona, Giuseppe and Fratila, Dragos},
title = {Ng\^o support theorem and polarizability of quasi-projective commutative group schemes},
journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
publisher = {mathdoc},
volume = {8},
year = {2024},
doi = {10.46298/epiga.2024.12345},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.12345/}
}
TY - JOUR AU - Ancona, Giuseppe AU - Fratila, Dragos TI - Ngô support theorem and polarizability of quasi-projective commutative group schemes JO - Épijournal de Géométrie Algébrique PY - 2024 VL - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.12345/ DO - 10.46298/epiga.2024.12345 LA - en ID - 10_46298_epiga_2024_12345 ER -
%0 Journal Article %A Ancona, Giuseppe %A Fratila, Dragos %T Ngô support theorem and polarizability of quasi-projective commutative group schemes %J Épijournal de Géométrie Algébrique %D 2024 %V 8 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.12345/ %R 10.46298/epiga.2024.12345 %G en %F 10_46298_epiga_2024_12345
Ancona, Giuseppe; Fratila, Dragos. Ngô support theorem and polarizability of quasi-projective commutative group schemes. Épijournal de Géométrie Algébrique, Tome 8 (2024). doi: 10.46298/epiga.2024.12345
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