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We consider various notions of Mayer--Vietoris squares in algebraic geometry.
J. Hall and D. Rydh, Algebraic groups and compact generation of their derived categories of representations , Indiana Univ. Math. J. 64
1923
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1964
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Théorie des topos et cohomologie étale des schémas. Tome 3 , Lecture Notes in Mathematics, Vol. 305, Springer-Verlag, Berlin, 1973, Séminaire de Géométrie Algébrique du Bois-Marie 1963–1964 (SGA 4), Dirigé par M. Artin, A. Grothendieck et J. L. Verdier. Avec la collaboration de P. Deligne et B. Saint-Donat
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A. Grothendieck, Éléments de géométrie algébrique , I.H.E.S. Publ. Math. 4, 8, 11, 17, 20, 24, 28, 32
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1995
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P. Joyet, Poulebèques de modules quasi-cohérents , Comm. Algebra 24
1996
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L. Moret-Bailly, Un problème de descente , Bull. Soc. Math. France 124
1996
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O. Gabber, A finiteness theorem for non abelian H 1 {H}^{1} of excellent schemes , Notes d’un exposé donné à l’occasion de la conférence en l’honneur de Luc Illusie, Orsay., 2005
2005
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M. Romagny, Composantes connexes et irréductibles en familles , Manuscripta Math. 136
2011
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D. Rydh, Étale dévissage, descent and pushouts of stacks , J. Algebra 331
2011
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D. Rydh, Existence and properties of geometric quotients , J. Algebraic Geom. 22
2013
D. Rydh, Noetherian approximation of algebraic spaces and stacks , J. Algebra 422
2015
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B. Bhatt, Algebraization and Tannaka duality , Camb. J. Math. 4
2016
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D. Rydh, Approximation of sheaves on algebraic stacks , Int. Math. Res. Not. 2016
2016
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J. Wise, Moduli of morphisms of logarithmic schemes , Algebra Number Theory 10
2016
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J. Hall, Openness of versality via coherent functors , J. Reine Angew. Math. 722
2017
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J. Hall and D. Rydh, Perfect complexes on algebraic stacks , Compositio Math. 153
2017
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Cited alongside, same era.
J. Hall and D. Rydh, The Hilbert stack , Adv. Math. 253
2014
Cited alongside, same era.
L. Illusie, Y. Laszlo, and F. Orgogozo (eds.), Travaux de Gabber sur l’uniformisation locale et la cohomologie étale des schémas quasi-excellents , Société Mathématique de France, Paris, 2014, Séminaire à l’École Polytechnique 2006–2008. [Seminar of the Polytechnic School 2006–2008], With the collaboration of Frédéric Déglise, Alban Moreau, Vincent Pilloni, Michel Raynaud, Joël Riou, Benoît Stroh, Michael Temkin and Weizhe Zheng, Astérisque No. 363-364 (2014)
2014
Cited alongside, same era.
The Stacks Project Authors, Stacks Project , http://stacks.math.columbia.edu
Cited in the paper.
J. Hall and D. Rydh, Coherent Tannaka duality and algebraicity of Hom-stacks , Algebra Number Theory 13
2019
Closest in time.