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$t$-Motives: Hodge Structures, Transcendence and Other Motivic Aspects
 
Edited by: Gebhard Böckle University of Heidelberg, Germany
Urs Hartl University of Muenster, Germany
Matthew Papanikolas Texas A&M Unversity, College Station, USA
A publication of European Mathematical Society
t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects
Hardcover ISBN:  978-3-03719-198-9
Product Code:  EMSSCR/16
List Price: $99.00
AMS Member Price: $79.20
Please note AMS points can not be used for this product
t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects
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$t$-Motives: Hodge Structures, Transcendence and Other Motivic Aspects
Edited by: Gebhard Böckle University of Heidelberg, Germany
Urs Hartl University of Muenster, Germany
Matthew Papanikolas Texas A&M Unversity, College Station, USA
A publication of European Mathematical Society
Hardcover ISBN:  978-3-03719-198-9
Product Code:  EMSSCR/16
List Price: $99.00
AMS Member Price: $79.20
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Series of Congress Reports
    Volume: 162020; 473 pp
    MSC: Primary 11; 13;

    This volume contains research and survey articles on Drinfeld modules, Anderson \(t\)-modules and \(t\)-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 \(t\)-motives. Also included are survey articles on the function field analogue of Fontaine's theory of \(p\)-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-\(t\)-motifs, and multizeta values.

    The 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.

    A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

    Readership

    Students and researchers working in function field arithmetic.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 162020; 473 pp
MSC: Primary 11; 13;

This volume contains research and survey articles on Drinfeld modules, Anderson \(t\)-modules and \(t\)-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 \(t\)-motives. Also included are survey articles on the function field analogue of Fontaine's theory of \(p\)-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-\(t\)-motifs, and multizeta values.

The 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.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Students and researchers working in function field arithmetic.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.