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Comparison of Relatively Unipotent Log de Rham Fundamental Groups
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Comparison of Relatively Unipotent Log de Rham Fundamental Groups
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eBook
Comparison of Relatively Unipotent Log de Rham Fundamental Groups
2023
Overview
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.
Publisher
American Mathematical Society
ISBN
1470467062, 9781470467067
