A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives

DOI10.4171/198-1/1zbMath1440.14020arXiv1806.03919OpenAlexW4246361010MaRDI QIDQ2197700

Matthew A. Papanikolas, W. Dale Brownawell

Publication date: 1 September 2020

Full work available at URL: https://arxiv.org/abs/1806.03919

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Related Items

Zeta-like multiple zeta values in positive characteristic ⋮ On Zagier-Hoffman's conjectures in positive characteristic ⋮ Linear equations on Drinfeld modules ⋮ Algebraic relations among Goss’s zeta values on elliptic curves ⋮ Some remarks on the reduction map for Drinfeld modules ⋮ Anderson-Stark units for 𝔽_{𝕢}[𝜃] ⋮ On \(\operatorname{Ext}^1\) for Drinfeld modules ⋮ Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic ⋮ A modular interpretation of BBGS towers ⋮ An effective criterion for Eulerian multizeta values in positive characteristic ⋮ On a conjecture of Furusho over function fields ⋮ The de Rham isomorphism for Drinfeld modules over Tate algebras ⋮ Special values of Goss \(L\)-series attached to Drinfeld modules of rank 2 ⋮ A difference version of Nori's theorem ⋮ Periods of \(t\)-modules as special values ⋮ Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients ⋮ On special \(L\)-values of \(t\)-modules ⋮ Analytic continuation of multiple polylogarithms in positive characteristic ⋮ Anderson 𝑡-modules with thin 𝑡-adic Galois representations

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