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Comparison of Relatively Unipotent Log de Rham Fundamental Groups / Bruno Chiarellotto, Valentina Di Proietto, and Atsushi Shiho.

Ebook Central Academic Complete Available online

Ebook Central Academic Complete
Format:
Book
Author/Creator:
Chiarellotto, Bruno, 1961- author.
Di Proietto, Valentina, author.
Shiho, Atsushi, author.
Series:
Memoirs of the American Mathematical Society ; Volume 288.
Memoirs of the American Mathematical Society Series ; Volume 288
Language:
English
Subjects (All):
Fundamental groups (Mathematics).
Homology theory.
Physical Description:
1 online resource (124 pages)
Edition:
First edition.
Place of Publication:
Providence, RI : American Mathematical Society, [2023]
Summary:
"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.
Contents:
Cover
Title page
Introduction
Conventions
Acknowledgements
Chapter 1. Preliminaries
Chapter 2. Relative Tannakian theory
Chapter 3. Construction of Hadian, Andreatta-Iovita-Kim and Lazda
Chapter 4. Relative minimal model of Navarro Aznar
Chapter 5. Relative bar construction
Chapter 6. Calculation of monodromy for stable log curves
6.1. Statement of main result and first reductions
6.2. Calculation of Lie algebra
6.3. Tangential sections
6.4. Calculation of monodromy (I)
6.5. Calculation of monodromy (II)
6.6. Calculation of monodromy (III)
6.7. End of the proof
6.8. Application to Andreatta-Iovita-Kim theorem
Bibliography
Back Cover.
Notes:
Description based on print version record.
Includes bibliographical references.
Other Format:
Print version: Chiarellotto, Bruno Comparison of Relatively Unipotent Log de Rham Fundamental Groups
ISBN:
9781470475727
1470475723

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