Algebraic geometry over model categories  -- A general approach to derived algebraic geometry

Algebraic geometry over model categories -- A general approach to derived algebraic geometry (2001)

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by Bertrand Toën , Gabriele Vezzosi

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@MISC{Toën01algebraicgeometry,
    author = {Bertrand Toën and Gabriele Vezzosi},
    title = {Algebraic geometry over model categories -- A general approach to derived algebraic geometry},
    year = {2001}
}

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Citations

226	An introduction to homological algebra - Weibel - 1994
157	Enumeration of Rational Curves via Torus Actions”, The Moduli Space - Kontsevich - 1995
135	modules, and algebras in stable homotopy theory - Elmendorf, Kriz, et al. - 1997
131	Simplicial homotopy theory - Goerss, Jardine - 1999
124	Algebras and modules in monoidal model categories - Schwede, Shipley
122	Model categories. Mathematical Surveys and Monographs, 63 - Hovey - 1999
116	Categories and cohomology theories. Topology 13 - Segal - 1974
106	Categories tannakiennes, in The Grothendieck Festschrift Volume - Deligne - 1990
98	groupe fondamental de la droite projective moins trois points - Deligne - 1989
96	Simplicial presheaves - Jardine - 1987
81	Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35, Springer-Verlag - Gabriel, Zisman - 1967
60	Elliptic spectra, the Witten genus and the theorem of the cube - Ando, Hopkins, et al.
50	des notions de n-categorie et n-groupoide non strictes vi des ensembles multi-simpliciaux, K-theory 16 - Sur - 1999
28	Hypercovers and simplicial presheaves - Dugger, Hollander, et al.
27	Simplicial functors and stable homotopy theory - Lydakis
25	Schematic homotopy types and non-abelian Hodge theory, preprint math.AG/0107129 - Katzarkov, Pantev, et al.
22	Topological modular forms, the Witten genus, and the theorem of the cube, 554–565 - Hopkins - 1994
20	algebras, modules and motives, Astérisque 233 - Kriz, May, et al. - 1995
15	Injective resolutions of BG and derived moduli spaces of local systems - Kapranov
14	Homotopy over the complex numbers and generalized de Rham cohomology. Moduli of Vector Bundles - Simpson - 1996
13	Descente pour les n-champs, preprint available at http://front.math.ucdavis.edu/math.AG/9807049 - Hirschowitz, Simpson
13	algebras and modules in model categories and motives - Spitzweck, Operads - 2001
11	Champs algébriques, A Series of Modern Surveys in Mathematics vol. 39, Springer-Verlag 2000. 59 A. Lazarev, Homotopy theory of A∞ ring spectra and applications to MU-modules - Laumon, Moret-Bailly
9	Local projective model structure on simpicial presheaves - Blander
9	Brown-Comenetz duality and the Adams spectral sequence - Mahowald, Rezk - 1999
8	Dualité de Tannaka supérieure I: Structures monoidales, Preprint Max-Planck - Toën
7	Algebraic K-theory of finitely presented spectra - Rognes
7	Combinatorial model categories, unpublished work - Smith
6	Homological algebra of homotopical algebras - Hinich - 1997
4	Schématisation des types d’homotopie, preprint available at http://front.math.ucdavis.edu/math.AG/0012219 - Toen
3	Derived Hilbert Schemes, preprint available at http://front. math.ucdavis.edu/math.AG/0005155 - Ciocan-Fontanine, Kapranov
3	Simplicial localisations of categories - Dwyer, Kan - 1980
2	Homotopy algebras for operads, preprint available at http://front.math.ucdavis.edu/math.QA/0002180 - Leinster
1	Algebraic geometry over dga’s - Behrend
1	On the homotopy theory of operads in symmetric monoidal model categories, in preparation - Berger, Moerdijk
1	Derived Quot schemes, preprint available at http://front. math.ucdavis.edu/math.AG/9905174 - Ciocan-Fontanine, Kapranov
1	Universal homotopy theories, preprint available at http://hopf.math.purdue.edu - Dugger
1	The Multiplicative Ring Spectra Project, five preprints available at http://www.math.northwestern.edu/ pgoerss - Goerss, Hopkins
1	Localisation of model categories, book in preparation available at http://www-math.mit.edu/ psh - Hirschorn
1	Symmetric spectra, preprint available at http://hopf.math.purdue.edu - Hovey, Shipley, et al.
1	2000. 50 J.S. Milne, Etale cohomology - Manin, Letter
1	Algebraic (geometric) n-stacks, preprint available at http://front - Simpson
1	Formal schemes and formal groups, Preprint available at http://www.shef.ac.uk - Strickland