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Comparison of relatively unipotent log de Rham fundamental groups / Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho.
Author
Chiarellotto, Bruno, 1961-
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Format
Book
Language
English
Published/Created
Providence, RI : American Mathematical Society, 2023.
©2023
Description
v, 111 pages : illustrations ; 26 cm.
Details
Subject(s)
Number theory
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Geometry, Algebraic
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Fundamental groups (Mathematics)
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Mathematical analysis
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Author
Di Proietto, Valentina
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Shiho, Atsushi
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Series
Memoirs of the American Mathematical Society ; no. 1430.
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Summary note
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.
Bibliographic references
Includes bibliographical references (pages 109-111).
Contents
Introduction
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
Bibliography.
Show 5 more Contents items
ISBN
1470467062 ((pbk.))
9781470467067 ((pbk.))
OCLC
1395537597
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