Intrinsic approach to Galois theory of q-difference equations / Lucia Di Vizio, Charlotte Hardouin ; with a preface to Part 4 by Anne Granier.
| Author/creator | Di Vizio, Lucia |
| Other author | Hardouin, Charlotte, 1977- |
| Other author | Granier, Anne. |
| Format | Electronic |
| Publication Info | Providence : American Mathematical Society, 2023. |
| Description | (xii, 70 pages) : $b illustrations ; 26 cm |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; volume 279, number 1376 |
| Contents | Generalities on q-difference modules -- Formal classification of singularities -- Rationality of solutions, when q is an algebraic number -- Rationality of solutions when q is transcendental -- A unified statement -- The intrinsic Galois group -- The parametrized intrinsic Galois group -- Preface to Part 4 : The Galois D-groupoid of a q-difference system / by Anne Granier -- Comparison of the parametrized intrinsic Galois group with the Galois D-groupoid. |
| Abstract | "The Galois theory of difference equations has witnessed a major evolution in the last two decades. In the particular case of q-difference equations, authors have introduced several different Galois theories. In this memoir we consider an arithmetic approach to the Galois theory of q-difference equations and we use it to establish an arithmetical description of some of the Galois groups attached to q-difference systems"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2022048352 |
| ISBN | 9781470453848 (paperback) |
| ISBN | (epub) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |