The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\)
From MaRDI portal
Publication:2172751
DOI10.25537/dm.2022v27.1509-1579zbMath1495.14065arXiv1512.03587MaRDI QIDQ2172751
Publication date: 16 September 2022
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.03587
Arithmetic ground fields for abelian varieties (14K15) Homotopy theory and fundamental groups in algebraic geometry (14F35) (p)-adic cohomology, crystalline cohomology (14F30)
Related Items
Perfect points of abelian varieties ⋮ Constructing abelian varieties from rank 2 Galois representations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Incarnations of Berthelot's conjecture
- The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals
- Théorie de Dieudonne cristalline. II
- Finiteness theorems for abelian varieties over number fields.
- La conjecture de Weil. II
- On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations
- Rational equivalence on singular varieties
- Determining representations from invariant dimensions
- Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic. -- Erratum
- \(L\)-functions associated to overconvergent \(F\)-isocrystals
- Finiteness and cohomological purity in rigid cohomology (with an appendix by Aise Johan de Jong)
- On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\)
- A \(p\)-adic local monodromy theorem
- Slopes of indecomposable \(F\)-isocrystals
- Morphisms of \(F\)-isocrystals and the finite monodromy theorem for unit-root \(F\)-isocrystals.
- Abelian varieties, \(\ell\)-adic representations, and \(\ell\)-independence
- Crystalline Dieudonné module theory via formal and rigid geometry
- Some consequences of the Riemann hypothesis for varieties over finite fields
- Finiteness of rigid cohomology with coefficients
- Endomorphisms of Abelian varieties over finite fields
- The Criteria for Algebraic Equivalence and the Torsion Group
- Fourier transforms and $p$-adic ‘Weil II’
- $F$-isocrystals and their monodromy groups
- Solutions d'équations à coefficients dans un anneau hensélien
- ISOGENIES OF ABELIAN VARIETIES OVER FIELDS OF FINITE CHARACTERISTIC
- A REMARK ON ENDOMORPHISMS OF ABELIAN VARIETIES OVER FUNCTION FIELDS OF FINITE CHARACTERISTIC
- Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve
- Dualité de Poincaré et formule de Künneth en cohomologie rigide
- Classes de Chern et classes de cycles en cohomologie rigide
- Langlands correspondence for isocrystals and the existence of crystalline companions for curves
- Theory of weights in p-adic cohomology
- Descente étale des F-isocristaux surconvergents et rationalité des fonctions L de schémas abéliens
- Independence of ℓ of monodromy groups
- Facteurs epsilon p-adiques
- Commutators in Semi-Simple Algebraic Groups
- Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions