The isotrivial case in the Mordell-Lang Theorem

DOI10.1090/S0002-9947-08-04388-2zbMath1232.11071MaRDI QIDQ3508041

Dragos Ghioca

Publication date: 27 June 2008

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

zbMATH Keywords

Mordell-Lang theorem in positive characteristic

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Varieties over finite and local fields (11G25)

Related Items (16)

The dynamical Mordell-Lang conjecture in positive characteristic ⋮ Unlikely intersections for curves in products of Carlitz modules ⋮ Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic ⋮ Unlikely intersections for curves in additive groups over positive characteristic ⋮ THE MORDELL–LANG CONJECTURE FOR SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC ⋮ \(F\)-sets and finite automata ⋮ Intersections of orbits of self‐maps with subgroups in semiabelian varieties ⋮ Algebraic equations on the adelic closure of a Drinfeld module ⋮ On vanishing coefficients of algebraic power series over fields of positive characteristic ⋮ A Skolem-Mahler-Lech theorem in positive characteristic and finite automata ⋮ Order of torsion for reduction of linearly independent points for a family of Drinfeld modules ⋮ Zariski dense orbits for regular self-maps of tori in positive characteristic ⋮ THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC ⋮ A SPARSITY RESULT FOR THE DYNAMICAL MORDELL–LANG CONJECTURE IN POSITIVE CHARACTERISTIC ⋮ Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields ⋮ A refinement of Christol's theorem for algebraic power series

Cites Work

• Division points on subvarieties of isotrivial semi-abelian varieties
• F -structures and integral points on semiabelian varieties over finite fields
• The Mordell-Lang conjecture for function fields
• Exponential diophantine equations
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