Grothendieck ring of pretriangulated categories (original) (raw)

Introduction to abelian and derived categories

Bernhard Keller

Representations of Reductive Groups, 1998

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Derived categories and their uses

Bernhard Keller

Handbook of Algebra, 1996

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Tannakization in derived algebraic geometry

Isamu Iwanari

Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology, 2014

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On the tensor product of Grothendieck categories

Boris Shoikhet

arXiv: Category Theory, 2016

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On differential graded categories

Bernhard Keller

International Congress of Mathematicans, 2006

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Recollements for derived categories of enriched functors and triangulated categories of motives

Darren Jones

Journal of Algebra, 2021

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Triangulated categories of mixed motives

Frédéric Déglise

2009

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From recollements of abelian categories to recollements of triangulated categories

Rongmin Zhu

arXiv: Rings and Algebras, 2020

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Algebraic Geometry over model categories (a general approach to derived algebraic geometry)

Gabriele Vezzosi

2001

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Categories parametrized by schemes and representation theory in complex rank

Akhil Mathew

Journal of Algebra, 2013

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On perfectly generating projective classes in triangulated categories

George Ciprian Modoi

2009

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Local and stable homological algebra in Grothendieck abelian categories

Frédéric Déglise

Homology Homotopy and Applications, 2009

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Derived categories and their applications

Andrea Solotar

Revista de la Unión Matemática …, 2007

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Triangulated categories of motives over a eld

Khadija Azi

preprint, 1995

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Uniqueness of enhancement for triangulated categories

Valery Lunts

Journal of the American Mathematical Society, 2010

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New enhancements of derived categories of coherent sheaves and applications

Valery Lunts

Journal of Algebra, 2016

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Constructing cogenerators in triangulated categories and Brown representability

George Ciprian Modoi

2014

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Categories and representations

Peter Gabriel

Journal of Pure and Applied Algebra, 2000

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Derived Categories For Nodal Rings And Projective Configurations

Yuriy Drozd

Lecture Notes in Pure and Applied Mathematics, 2005

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Grothendieck Rings of Definable Subassignments and Equivariant Motivic Measures

Quy Lê

Tạp chí Khoa học Đại học Đà Lạt, 2022

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Singular extensions and triangulated categories

Teimuraz Pirashvili

2007

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Graded and Koszul Categories

Roberto MARTINEZ Villa

Applied Categorical Structures, 2009

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Reconstruction of schemes via the tensor triangulated category of perfect complexes

Nicola Carissimi

2021

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Derived categories of coherent sheaves on some zero-dimensional schemes

Valery Lunts

Journal of Pure and Applied Algebra, 2021

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Sheaves on Grothendieck constructions

Nikita Golub

Cornell University - arXiv, 2022

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THE DERIVED CATEGORY OF QUASI-COHERENT SHEAVES AND AXIOMATIC STABLE HOMOTOPY

Jeremia Full

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On the abelianization of derived categories and a negative solution to Rosický’s problem

Silvana Bazzoni

Compositio Mathematica, 2012

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A functorial formalism for quasi-coherent sheaves on a geometric stack

Marta Pérez Rodríguez, Alonso Tarrío, Maria Vale

Expositiones Mathematicae, 2015

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Module categories over affine group schemes

Shlomo Gelaki

Quantum Topology

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Auslander–Buchweitz Approximation Theory for Triangulated Categories

Cruz Vargas

Applied Categorical Structures, 2013

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Some algebraic applications of graded categorical group theory

Antonio Martinez Cegarra

Theory and Applications of Categories

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On triangulated orbit categories

Bernhard Keller

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Spectral categories and varieties of preadditive categories

Alberto Facchini

Journal of Pure and Applied Algebra, 1983

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Differential graded categories and Deligne conjecture

Boris Shoikhet

Advances in Mathematics, 2016

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