JournalsdmVol. 23pp. 543–597

On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups

  • Valentina Di Proietto

    College of Engineering, Mathematics and Physical Sciences, University of Exeter, EX4 4RN, Exeter, United Kingdom

  • Atsushi Shiho

    Graduate School of Mathematical Sciences, the University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
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Abstract

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

Cite this article

Valentina Di Proietto, Atsushi Shiho, On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups. Doc. Math. 23 (2018), pp. 543–597

DOI 10.4171/DM/626