Étale homotopy and obstructions to rational points

DOI10.1007/978-3-030-78977-0_4zbMath1478.14005OpenAlexW3204856576MaRDI QIDQ2074095

Tomer M. Schlank

Publication date: 4 February 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-78977-0_4

Mathematics Subject Classification ID

Rational points (14G05) Étale and other Grothendieck topologies and (co)homologies (14F20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Derived categories, triangulated categories (18G80)

Cites Work

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• Relative categories: another model for the homotopy theory of homotopy theories
• Three models for the homotopy theory of homotopy theories
• Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
• Quasi-categories and Kan complexes
• Etale homotopy
• Etale Homotopy of Simplicial Schemes. (AM-104)
• A Survey of (∞, 1)-Categories
• A model for the homotopy theory of homotopy theory
• Homotopy Obstructions to Rational Points
• Higher Topos Theory (AM-170)

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