On the homotopy exact sequence for log algebraic fundamental groups

We construct a log algebraic version of the homotopy sequence for a quasi-projective normal crossing log variety over a log point of characteristic zero and prove some exactness properties of it. Our proofs are purely algebraic.

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Bibliographic Details
Published inarXiv.org
Main Authors Valentina Di Proietto, Shiho, Atsushi
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.05.2018
Subjects
Algebra
Group theory
Mathematics - Algebraic Geometry
Mathematics - Number Theory
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Summary:We construct a log algebraic version of the homotopy sequence for a quasi-projective normal crossing log variety over a log point of characteristic zero and prove some exactness properties of it. Our proofs are purely algebraic.
ISSN:2331-8422
DOI:10.48550/arxiv.1608.00384