Commutative algebraic groups up to isogeny
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Publication:526157
zbMath1378.14040arXiv1602.00222MaRDI QIDQ526157
Publication date: 10 May 2017
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00222
Isogeny (14K02) Group schemes (14L15) Localization of categories, calculus of fractions (18E35) Structure theory for linear algebraic groups (20G07)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Isomotives of dimension less than or equal to one
- Cohomologial dimension of Laumon 1-motives up to isogenies
- On extensions of algebraic groups with finite quotient
- Universal extensions and one dimensional crystalline cohomology
- On the structure of commutative affine group schemes over a non-perfect field
- Kommutative algebraische Gruppen und Ringe
- Isogeny estimates for abelian varieties, and finiteness theorems
- Yoneda extensions in Abelian categories
- Extensions of algebraic groups with finite quotient and nonabelian 2-cohomology
- Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem
- Endomorphisms of Abelian varieties over finite fields
- Faisceaux amples sur les schémas en groupes et les espaces homogènes
- Forms of the affine line and its additive group
- Isogeny classes of abelian varieties over finite fields
- The homological dimension of commutative group schemes over a perfect field
- Commutative group schemes
- Some Basic Theorems on Algebraic Groups
- Extensions of Vector Groups by Abelian Varieties
- Néron Models
- Some structure theorems for algebraic groups
- Pseudo-reductive Groups
- Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields
- Pseudo-abelian varieties
- Abelian varieties over finite fields
- Des catégories abéliennes
- Groupes affines, commutatifs, unipotents sur un corps non parfait
- Abelian Varieties Over Function Fields
- A characterization of hereditary categories with tilting object
