Ng\^o support theorem and polarizability of quasi-projective commutative group schemes

التفاصيل البيبلوغرافية
العنوان: Ng\^o support theorem and polarizability of quasi-projective commutative group schemes
المؤلفون: Ancona, Giuseppe, Fratila, Dragos
المصدر: Épijournal de Géométrie Algébrique, Volume 8 (July 16, 2024) epiga:12345
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry
الوصف: 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.
Comment: comments welcome
نوع الوثيقة: Working Paper
DOI: 10.46298/epiga.2024.12345
URL الوصول: http://arxiv.org/abs/2304.07729
رقم الأكسشن: edsarx.2304.07729
قاعدة البيانات: arXiv
الوصف
DOI:10.46298/epiga.2024.12345