The de Rham isomorphism for Drinfeld modules over Tate algebras
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Publication:1730208
DOI10.1016/j.jalgebra.2019.02.006zbMath1470.11157arXiv1805.05386OpenAlexW2804846035WikidataQ128418480 ScholiaQ128418480MaRDI QIDQ1730208
Oğuz Gezmiş, Matthew A. Papanikolas
Publication date: 11 March 2019
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.05386
Arithmetic theory of algebraic function fields (11R58) Krasner-Tate algebras (12J27) Drinfel'd modules; higher-dimensional motives, etc. (11G09) de Rham cohomology and algebraic geometry (14F40) Difference algebra (12H10)
Related Items
Effective rigid analytic trivializations for Drinfeld modules ⋮ Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic ⋮ Taelman \(L\)-values for Drinfeld modules over Tate algebras ⋮ On identities for zeta values in Tate algebras ⋮ On Drinfeld modular forms of higher rank and quasi-periodic functions
Cites Work
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- Arithmetic of function field units
- A Dirichlet unit theorem for Drinfeld modules
- Tensor powers of the Carlitz module and zeta values
- Special \(L\)-values of Drinfeld modules
- \(t\)-motives
- Submodules of products of quasi-periodic modules
- Galois theory of difference equations
- Rigid analytic geometry and its applications
- An effective criterion for Eulerian multizeta values in positive characteristic
- Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic
- A Weil-Barsotti formula for Drinfeld modules.
- Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
- Values of certain \(L\)-series in positive characteristic
- Explicit formulas for Drinfeld modules and their periods
- A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives
- Identities for Anderson generating functions for Drinfeld modules
- Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
- Arithmetic of positive characteristic -series values in Tate algebras
- Algebraic relations among periods and logarithms of rank 2 Drinfeld modules
- Frobenius actions on the de Rham cohomology of Drinfeld modules
- Algebraic independence of periods and logarithms of Drinfeld modules
- Vectorial Drinfeld modular forms over Tate algebras
- On the de Rham isomorphism for Drinfeld modules.
- Linear independence of Gamma values in positive characteristic
- Anderson-Stark units for 𝔽_{𝕢}[𝜃]
- Stark units in positive characteristic