Comparison of relatively unipotent log de Rham fundamental groups / Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho.
| Author/creator | Chiarellotto, Bruno, 1961- |
| Other author | Di Proietto, Valentina. |
| Other author | Shiho, Atsushi. |
| Format | Electronic |
| Publication Info | Providence, RI : AMS, American Mathematical Society, [2023] |
| Description | v, 111 pages : illustrations ; 26 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; volume 288, number 1430 |
| Contents | Preliminaries -- Relative Tannakian theory -- Construction of Hadian, Andreatta-Iovita-Kim and Lazda -- Relative minimal model of Navarro Aznar -- Relative bar construction -- Calculation of monodromy for stable log curves. |
| Abstract | "In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log schemes of characteristic zero. Our proofs are purely algebraic. As an application, we give a purely algebraic calculation of the monodromy action on the unipotent log de Rham fundamental group of a stable log curve. As a corollary we give a purely algebraic proof to the transcendental part of Andreatta- Iovita-Kim's article: obtaining in this way a complete algebraic criterion for good reduction for curves"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 109-111). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2023056192 |
| ISBN | 9781470467067 (paperback) |
| ISBN | (pdf) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |