Uniformizable families of $t$-motives

DOI10.1090/S0002-9947-07-04136-0zbMath1140.11030arXivmath/0411262MaRDI QIDQ3433743

Urs T. Hartl, Gebhard Böckle

Publication date: 2 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0411262

zbMATH Keywords

Drinfeld modulesrigid analytic geometryt-motivesuniformisability

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Rigid analytic geometry (14G22)

Related Items

From the Carlitz exponential to Drinfeld modular forms, Special functions and Gauss-Thakur sums in higher rank and dimension, Local shtukas, Hodge-Pink structures and Galois representations, Congruences of Galois representations attached to effective A-motives over global function fields, Period spaces for Hodge structures in equal characteristic, Rigid \tau -crystals, Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms, Product formulas for periods of CM abelian varieties and the function field analog, Tensor powers of rank 1 Drinfeld modules and periods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomological theory of crystals over function fields
• \(t\)-motives
• Vektorraumbündel über nichtarchimedischen holomorphen Räumen
• Formal and rigid geometry. I: Rigid spaces
• Étale cohomology for non-Archimedean analytic spaces
• Period mappings and differential equations. From \({\mathbb C}\) to \({\mathbb C}_p\). Tôhoku-Hokkaidô lectures in arithmetic geometry. With appendices: A: Rapid course in \(p\)-adic analysis by F. Kato, B: An overview of the theory of \(p\)-adic unifomization by F. Kato, C: \(p\)-adic symmetric domains and Totaro's theorem by N. Tsuzuki
• The cohomology of \(p\)-adic symmetric spaces
• Global \(L\)-functions over function fields
• A Galois criterion for good reduction of \(\tau\)-sheaves.
• Points and topologies in rigid geometry
• Étale cohomology of rigid analytic spaces
• Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Points of rigid analytic varieties.
• Uniformizing the Stacks of Abelian Sheaves
• 𝐿-functions of 𝜑-sheaves and Drinfeld modules