Étale Homotopy and Obstructions to Rational Points

Tomer M. Schlank

doi:10.1007/978-3-030-78977-0_4

Étale Homotopy and Obstructions to Rational Points

Tomer M. Schlank^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-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 language	English
Title of host publication	Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects
Subtitle of host publication	LMS-CMI Research School, London, July 2018
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	107-143
Number of pages	37
DOIs	https://doi.org/10.1007/978-3-030-78977-0_4
State	Published - 2021

Publication series

Name	Lecture Notes in Mathematics
Volume	2292
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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10.1007/978-3-030-78977-0_4

Cite this

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Étale Homotopy and Obstructions to Rational Points. / Schlank, Tomer M.
Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects: LMS-CMI Research School, London, July 2018. Springer Science and Business Media Deutschland GmbH, 2021. p. 107-143 (Lecture Notes in Mathematics; Vol. 2292).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Étale Homotopy and Obstructions to Rational Points

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