Éléments de géométrie algébrique : IV. Étude locale des schémas et des morphismes de schémas, Troisième partie

1966/12/07 by Alexander Grothendieck · 504 citations
Mathematics · #Advanced Topics in Algebra #History and Theory of Mathematics #Mathematics #Mathematics and Applications

paper · doi:10.1007/bf02684343

published in Publications mathématiques de l IHÉS 28, 5-255 (Springer Nature)

crossref issued 1966/12/07 · crossref published 1966/12/07 · crossref published-online 1966/12/07 · openalex publication_date 1966/12/07 · crossref created 2007/08/16 · openalex created_date 2025/10/10 · crossref deposited 2026/02/17 · openalex updated_date 2026/07/23 · crossref indexed 2026/07/31

Cited by

• Deitmar’s versus Toën-Vaquié’s schemes over \mathbbF₁
• Birational motives, I: pure birational motives
• Stable 𝔸1-connectivity over Dedekind schemes
• The localization theorem for framed motivic spaces
• Differential forms in positive characteristic, II :cdh-descent via functorial Riemann–Zariski spaces
• Extended eigenvarieties for overconvergent cohomology
• Pseudo-quotients of algebraic actions and their application to character varieties
• Automorphy for some l -adic lifts of automorphic mod l Galois representations. II
• Universal limit linear series and descent of moduli spaces
• Geometry on totally separably closed schemes
• Artin–Tate motivic sheaves with finite coefficients over an algebraic variety
• Differentials on the arc space
• Counting points of schemes over finite rings and counting representations of arithmetic lattices
• Trigonometric sums, green functions of finite groups and representations of Weyl groups
• The quotient map on the equivariant Grothendieck ring of varieties
• The universal family of semistable p-adic Galois representations
• On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic, II
• A modular description of 𝒳0(n)
• Fixed point theorems involving numerical invariants
• Constructible set (topology) [wikipedia]
• Finite morphism [wikipedia]
• Jacobson ring [wikipedia]
• Proper morphism [wikipedia]