Details

Subject(s)

• Number theory [Browse]
• Geometry, Algebraic [Browse]
• Fundamental groups (Mathematics) [Browse]
• Mathematical analysis [Browse]

Author

• Di Proietto, Valentina [Browse]
• Shiho, Atsushi [Browse]

Series

Memoirs of the American Mathematical Society ; no. 1430. [More in this series]

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.

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ISBN

• 1470467062 ((pbk.))
• 9781470467067 ((pbk.))

OCLC

1395537597

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