Fetching the paper…
Reading the bibliography…
We establish Tannaka duality for noetherian algebraic stacks with affine stabilizer groups.
J. Hall and D. Rydh, Algebraic groups and compact generation of their derived categories of representations , Indiana Univ. Math. J. 64
1923
Earlier work this paper cites.
T. Tannaka, Über den Dualitätssatz der nichtkommutativen topologischen Gruppen , Tôhoku Math. J. 45
1939
Earlier work this paper cites.
P. Gabriel, Des catégories abéliennes , Bull. Soc. Math. France 90
1962
Earlier work this paper cites.
D. Lazard, Sur les modules plats , C. R. Acad. Sci. Paris 258
1964
Earlier work this paper cites.
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
1964
Earlier work this paper cites.
A. Grothendieck, Éléments de géométrie algébrique , I.H.E.S. Publ. Math. 4, 8, 11, 17, 20, 24, 28, 32
1967
Earlier work this paper cites.
I. Bucur and A. Deleanu, Introduction to the theory of categories and functors , With the collaboration of Peter J. Hilton and Nicolae Popescu. Pure and Applied Mathematics, Vol. XIX, Interscience Publication John Wiley & Sons, Ltd., London-New York-Sydney, 1968
1968
Earlier work this paper cites.
M. Demazure and P. Gabriel, Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs , Masson & Cie, Éditeur, Paris, 1970, Avec un appendice Corps de classes local
1970
Earlier work this paper cites.
D. Ferrand and M. Raynaud, Fibres formelles d’un anneau local noethérien , Ann. Sci. École Norm. Sup. (4) 3
1970
Earlier work this paper cites.
M. Raynaud, Faisceaux amples sur les schémas en groupes et les espaces homogènes , Lecture Notes in Mathematics, Vol. 119, Springer-Verlag, Berlin, 1970
1970
Earlier work this paper cites.
M. Raynaud and L. Gruson, Critères de platitude et de projectivité. Techniques de “platification” d’un module , Invent. Math. 13
1971
Earlier work this paper cites.
H. Matsumura, Commutative algebra , second ed., Mathematics Lecture Note Series, vol. 56, Benjamin/Cummings Publishing Co., Inc., Reading, Mass., 1980
1980
Earlier work this paper cites.
H. Matsumura, Commutative ring theory , second ed., Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, Cambridge, 1989, Translated from the Japanese by M. Reid
1989
Earlier work this paper cites.
P. Deligne, Catégories tannakiennes , The Grothendieck Festschrift, Vol. II, Progr. Math., vol. 87, Birkhäuser Boston, Boston, MA, 1990, pp. 111–195
1990
Earlier work this paper cites.
L. Moret-Bailly, Un problème de descente , Bull. Soc. Math. France 124
1996
Earlier work this paper cites.
S. Mac Lane, Categories for the working mathematician , second ed., Graduate Texts in Mathematics, vol. 5, Springer-Verlag, New York, 1998
1998
Earlier work this paper cites.
A. Kresch, Cycle groups for Artin stacks , Invent. Math. 138
1999
Earlier work this paper cites.
G. Laumon and L. Moret-Bailly, Champs algébriques , Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., vol. 39, Springer-Verlag, Berlin, 2000
2000
Earlier work this paper cites.
D. Ferrand, Conducteur, descente et pincement , Bull. Soc. Math. France 131
2003
Earlier work this paper cites.
J. Lurie, Tannaka duality for geometric stacks , preprint, December 2004, arXiv:math/0412266 , p. 14
2004
Earlier work this paper cites.
B. Totaro, The resolution property for schemes and stacks , J. Reine Angew. Math. 577
2004
Earlier work this paper cites.
V. Alexeev and M. Brion, Moduli of affine schemes with reductive group action , J. Algebraic Geom. 14
2005
Earlier work this paper cites.
M. Olsson, On proper coverings of Artin stacks , Adv. Math. 198
2005
Cited alongside, same era.
M. Aoki, Hom stacks , Manuscripta Math. 119
2006
Cited alongside, same era.
M. Aoki, Hom stacks: erratum , Manuscripta Math. 121
2006
Cited alongside, same era.
M. Kashiwara and P. Schapira, Categories and sheaves , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 332, Springer-Verlag, Berlin, 2006
2006
Cited alongside, same era.
M. Olsson, Deformation theory of representable morphisms of algebraic stacks , Math. Z. 253
2006
Cited alongside, same era.
M. Olsson, Hom ¯ \underline{\rm Hom} -stacks and restriction of scalars , Duke Math. J. 134
2006
H. Fukuyama and I. Iwanari, Monoidal infinity category of complexes from Tannakian viewpoint , Math. Ann. 356
2013
Later among the works it cites.
P. Gross, Tensor generators on schemes and stacks , preprint, June 2013, arXiv:1306.5418
2013
Later among the works it cites.
J. Alper and A. Kresch, Equivariant versal deformations of semistable curves , 2014, preprint available on homepage
2014
Closest in time.
M. Brandenburg and A. Chirvasitu, Tensor functors between categories of quasi-coherent sheaves , J. Algebra 399
2014
Closest in time.
B. Bhatt, Algebraization and Tannaka duality , preprint, April 2014, arXiv:1404.7483
2014
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
V. Savin, Tannaka duality on quotient stacks , Manuscripta Math. 119
2006
Cited alongside, same era.
M. Olsson, Sheaves on Artin stacks , J. Reine Angew. Math. 603
2007
Cited alongside, same era.
M. Brion, Anti-affine algebraic groups , J. Algebra 321
2009
Cited alongside, same era.
J. Alper, On the local quotient structure of Artin stacks , Journal of Pure and Applied Algebra 214
2010
Cited alongside, same era.
D. Ben-Zvi, How to unify various reconstruction theorems (Gabriel-Rosenberg, Tannaka, Balmers) , MathOverflow answer at http://mathoverflow.net/q/16334 , 2010
2010
Cited alongside, same era.
B. Conrad, Smooth linear algebraic groups over the dual numbers , MathOverflow, 2010, http://mathoverflow.net/q/22078
2010
Cited alongside, same era.
M. Brandenburg, Tensor categorical foundations of algebraic geometry , Ph.D. thesis, Wilhelms-Universität Münster, May 2014, p. 243
2014
Closest in time.
J. Hall, Cohomology and base change for algebraic stacks , Math. Z. 278
2014
Closest in time.
J. Hall, Openness of versality via coherent functors , J. Reine. Angew. Math. (2014), available online, http://dx.doi.org/10.1515/crelle-2014-0057
2014
Closest in time.
2014
Closest in time.
J. Hall and D. Rydh, The Hilbert stack , Adv. Math. 253
2014
Closest in time.
2014
Closest in time.
D. Schäppi, Which abelian tensor categories are geometric? , J. Reine. Angew. Math. (2014), available online, http://dx.doi.org/10.1515/crelle-2014-0053
2014
Closest in time.
2015
Closest in time.
B. Bhatt and D. Halpern-Leistner, Tannaka duality revisited , July 2015, arXiv:1507.01925
2015
Closest in time.
A. Geraschenko and D. Zureick-Brown, Formal GAGA for good moduli spaces , Algebr. Geom. 2
2015
Closest in time.
J. Hall and D. Rydh, General Hilbert stacks and Quot schemes , Michigan Math. J. 64
2015
Closest in time.
D. Rydh, Noetherian approximation of algebraic spaces and stacks , J. Algebra 422
2015
Closest in time.
D. Schäppi, Constructing colimits by gluing vector bundles , preprint, May 2015, arXiv:1505.04596
2015
Closest in time.
J. Hall and D. Rydh, Mayer–Vietoris squares in algebraic geometry , June 2016, arXiv:1606.08517
2016
Closest in time.
D. Rydh, Approximation of sheaves on algebraic stacks , Int. Math. Res. Not. 2016
2016
Closest in time.
J. Wise, Moduli of morphisms of logarithmic schemes , Algebra Number Theory (2016), to appear
2016
Closest in time.