Algebraization and Tannaka duality

Direct products of modules

Stephen U. Chase · 1960

Earlier work this paper cites.

Éléments de géométrie algébrique. III. Étude cohomologique des faisceaux cohérents. I

A. Grothendieck · 1961

Earlier work this paper cites.

Vector bundles and projective modules

Richard G. Swan · 1962

Earlier work this paper cites.

Residues and duality

Robin Hartshorne · 1966

Earlier work this paper cites.

Algebraization of formal moduli. II. Existence of modifications

M. Artin · 1970

Earlier work this paper cites.

Fibres formelles d’un anneau local noethérien

Daniel Ferrand and Michel Raynaud · 1970

Earlier work this paper cites.

Faisceaux amples sur les schémas en groupes et les espaces homogènes

Michel Raynaud · 1970

Earlier work this paper cites.

The spectrum of an equivariant cohomology ring. I, II

Daniel Quillen · 1971

Earlier work this paper cites.

Critères de platitude et de projectivité. Techniques de “platification” d’un module

Michel Raynaud and Laurent Gruson · 1971

Earlier work this paper cites.

Étale cohomology

James S. Milne · 1980

Earlier work this paper cites.

Higher algebraic K K -theory of schemes and of derived categories

R. W. Thomason and Thomas Trobaugh · 1990

Earlier work this paper cites.

Un lemme de descente

Arnaud Beauville and Yves Laszlo · 1995

Earlier work this paper cites.

The classification of triangulated subcategories

R. W. Thomason · 1997

Earlier work this paper cites.

Integral crystalline cohomology over very ramified valuation rings

Gerd Faltings · 1999

Earlier work this paper cites.

𝐀 1 {\bf A}^{1} -homotopy theory of schemes

Fabien Morel and Vladimir Voevodsky · 1999

Cited alongside, same era.

The Chow ring of a classifying space

Burt Totaro · 1999

Cited alongside, same era.

Generators and representability of functors in commutative and noncommutative geometry

A. Bondal and M. van den Bergh · 2003

Cited alongside, same era.

Stable model categories are categories of modules

Stefan Schwede and Brooke Shipley · 2003

Cited alongside, same era.

Tannaka duality for geometric stacks

Jacob Lurie · 2004

Cited alongside, same era.

The resolution property for schemes and stacks

Burt Totaro · 2004

Cited alongside, same era.

Notes on enriched categories with colimits of some class

Greenberg approximation and the geometry of arc spaces

Johannes Nicaise and Julien Sebag · 2010

Later among the works it cites.

Descent theorems

Jacob Lurie · 2011

Later among the works it cites.

Higher algebra

Jacob Lurie · 2011

Later among the works it cites.

Proper morphisms, completions, and the Grothendieck existence theorem

Jacob Lurie · 2011

Later among the works it cites.

Quasi-coherent sheaves and Tannaka duality theorems

Jacob Lurie · 2011

Later among the works it cites.

Tensor functors between categories of quasi-coherent sheaves

Original

Michael Brandenburg and Alexander Chirvasitu · 2012

Later among the works it cites.