-Motives: Hodge Structures, Transcendence and Other Motivic Aspects


  • Gebhard Böckle

    Universität Heidelberg, Germany
  • David Goss

  • Urs Hartl

    Universität Münster, Germany
  • Matthew A. Papanikolas

    Texas A&M University, College Station, USA
t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects cover
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This volume contains research and survey articles on Drinfeld modules, Anderson -modules and -motives. Much material that had not been easily accessible in the literature is presented here, for example the cohomology theories and Pink’s theory of Hodge structures attached to Drinfeld modules and -motives. Also included are survey articles on the function field analogue of Fontaine’s theory of -adic crystalline Galois representations and on transcendence methods over function fields, encompassing the theories of Frobenius difference equations, automata theory, and Mahler’s method. In addition, this volume contains a small number of research articles on function field Iwasawa theory, 1--motifs, and multizeta values.

This book is a useful source for learning important techniques and an effective reference for all researchers working in or interested in the area of function field arithmetic, from graduate students to established experts.