| Title |
$t$-Motives: Hodge Structures, Transcendence and Other Motivic Aspects ([EBook] /) / Gebhard Böckle, David Goss, Urs Hartl, Matthew A. Papanikolas |
| Added Personal Name |
Böckle, Gebhard |
| Goss, David |
| Hartl, Urs |
| Papanikolas, Matthew A. |
| Publication |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2020 |
| Physical Details |
1 online resource (473 pages) |
| Series |
EMS Series of Congress Reports (ECR) 2523-515X |
| ISBN |
9783037196984 |
| Summary Note |
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. 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.: |
| Contents note |
A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives /: Pink’s theory of Hodge structures and the Hodge conjecture over function fields /: Local shtukas, Hodge–Pink structures and Galois representations /: Frobenius difference equations and difference Galois groups /: An introduction to Mahler’s method for transcendence and algebraic independence /: Automata methods in transcendence /: Aspects of Iwasawa theory over function fields /: 1-$t$-Motifs /: Multizeta in function field arithmetic /: |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.4171/198 |
| See Also |
https://www.ems-ph.org/img/books/hartl_mini.jpg |
| Links to Related Works |
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