A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives

Abstract

The present article aims to provide a brief account of the theories of Drinfeld modules and Anderson's $t$-modules and $t$-motives. As such the article is not meant to be comprehensive, but we have endeavored to summarize aspects of the theory that are of current interest and to include a number of examples.

To appear in t-Motives: Hodge Structures, Transcendence, and Other Motivic Aspects; 23 pages

Cited by in corpus (8)

• The de Rham isomorphism for Drinfeld modules over Tate algebras
• Periods of $t$-modules as special values
• Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients
• Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules
• Analytic continuation of multiple polylogarithms in positive characteristic
• On Furusho's analytic continuation of Drinfeld logarithms
• A Modular Interpretation of BBGS Towers
• On the transcendence of special values of Goss $L$-functions attached to Drinfeld modules