On algebraic 𝜎-groups

DOI10.1090/S0002-9947-06-04312-1zbMath1124.14041MaRDI QIDQ3420272

Piotr Kowalski, Anand Pillay

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

algebraic groupManin-Mumforddifference field\(\sigma\)-variety

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Isogeny (14K02) Arithmetic ground fields for abelian varieties (14K15) Subvarieties of abelian varieties (14K12)

Related Items (7)

Difference modules and difference cohomology ⋮ Torsors for difference algebraic groups ⋮ Generalized Picard-Vessiot extensions and differential Galois cohomology ⋮ Difference sheaves and torsors ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ Difference Galois theory of linear differential equations ⋮ Almost-simple affine difference algebraic groups

Cites Work

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• Jet spaces of varieties over differential and difference fields
• MODEL THEORY OF DIFFERENCE FIELDS, II: PERIODIC IDEALS AND THE TRICHOTOMY IN ALL CHARACTERISTICS
• A positive characteristic Manin–Mumford theorem
• Model theory of difference fields
• Mordell–Lang conjecture for function fields in characteristic zero, revisited
• On $\psi$-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture
• The Mordell-Lang conjecture for function fields
• Quantifier elimination for algebraic $D$-groups
• On Algebraic Groups of Transformations
• The Manin-Mumford conjecture and the model theory of difference fields

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