Étale Homotopy and Obstructions to Rational Points

Tomer M. Schlank*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

These notes are supposed to serve as a condensed but approachable guide to the way étale homotopy can be used to study rational points. I hope readers from different backgrounds will find it useful, but it is probably most suitable for a reader with some background in algebraic geometry who is not necessarily as familiar with modern homotopical and ∞-categorical methods. The original definition of the étale homotopy type is due to Artin and Mazur, and the idea was further developed by Friedlander. In recent years there has been a lot of activity around étale homotopy and its applications.

Original languageAmerican English
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages107-143
Number of pages37
DOIs
StatePublished - 2021

Publication series

NameLecture Notes in Mathematics
Volume2292
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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