Volume 17, issue 3 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Constructing derived moduli stacks

Jonathan P Pridham

Geometry & Topology 17 (2013) 1417–1495
Bibliography
1 M Anel, Grothendieck topologies from unique factorisation systems (2009) arXiv:0902.1130v2
2 A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
3 A M Cegarra, J Remedios, The relationship between the diagonal and the bar constructions on a bisimplicial set, Topology Appl. 153 (2005) 21 MR2172033
4 A M Cegarra, J Remedios, Diagonal fibrations are pointwise fibrations, J. Homotopy Relat. Struct. 2 (2007) 81 MR2369162
5 I Ciocan-Fontanine, M Kapranov, Derived Quot schemes, Ann. Sci. École Norm. Sup. 34 (2001) 403 MR1839580
6 I Ciocan-Fontanine, M M Kapranov, Derived Hilbert schemes, J. Amer. Math. Soc. 15 (2002) 787 MR1915819
7 F R Cohen, T J Lada, J P May, The homology of iterated loop spaces, 533, Springer (1976) MR0436146
8 W G Dwyer, D M Kan, Homotopy theory and simplicial groupoids, Nederl. Akad. Wetensch. Indag. Math. 46 (1984) 379 MR770723
9 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
10 A Grothendieck, Techniques de construction et théorèmes d’existence en géométrie algébrique, IV : Les schémas de Hilbert, from: "Séminaire Bourbaki (1960/1961) (Exposé 221)", Benjamin (1960) MR1611822
11 A Grothendieck, Éléments de géométrie algébrique, III : Étude cohomologique des faisceaux cohérents, I, Inst. Hautes Études Sci. Publ. Math. 1961 (1961) 349 MR0217085
12 M Haiman, B Sturmfels, Multigraded Hilbert schemes, J. Algebraic Geom. 13 (2004) 725 MR2073194
13 R Hartshorne, Residues and duality, 20, Springer (1966) MR0222093
14 R Hartshorne, Algebraic geometry, 52, Springer (1977) MR0463157
15 L Illusie, Complexe cotangent et déformations, I, 239, Springer (1971) MR0491680
16 L Illusie, Cotangent complex and deformations of torsors and group schemes, from: "Toposes, algebraic geometry and logic" (editor F W Lawvere), Lecture Notes in Math. 274, Springer (1972) 159 MR0491682
17 G Laumon, L Moret-Bailly, Champs algébriques, 39, Springer (2000) MR1771927
18 J Lurie, Derived algebraic geometry, PhD thesis, Massachusetts Institute of Technology (2004) MR2717174
19 D Mumford, Lectures on curves on an algebraic surface, 59, Princeton Univ. Press (1966) MR0209285
20 J P Pridham, Deformations of schemes and other bialgebraic structures, Trans. Amer. Math. Soc. 360 (2008) 1601 MR2357707
21 J P Pridham, Pro-algebraic homotopy types, Proc. Lond. Math. Soc. 97 (2008) 273 MR2439664
22 J P Pridham, Derived deformations of Artin stacks (2009) arXiv:0805.3130v2
23 J P Pridham, The homotopy theory of strong homotopy algebras and bialgebras, Homology, Homotopy Appl. 12 (2010) 39 MR2721031
24 J P Pridham, Derived deformations of schemes, Comm. Anal. Geom. 20 (2012) 529 MR2974205
25 J P Pridham, Derived moduli of schemes and sheaves, J. K–Theory 10 (2012) 41 MR2990562
26 J P Pridham, Representability of derived stacks, J. K–Theory 10 (2012) 413 MR3004173
27 J P Pridham, Presenting higher stacks as simplicial schemes, Adv. Math. 238 (2013) 184 MR3033634
28 D Quillen, Rational homotopy theory, Ann. of Math. 90 (1969) 205 MR0258031
29 D Quillen, On the (co-) homology of commutative rings, from: "Applications of categorical algebra" (editor A Heller), Amer. Math. Soc. (1970) 65 MR0257068
30 J P Serre, Faisceaux algébriques cohérents, Ann. of Math. 61 (1955) 197 MR0068874
31 B Toën, Descente fidèlement plate pour les n–champs d’Artin, Compos. Math. 147 (2011) 1382
32 B Toën, G Vezzosi, Homotopical algebraic geometry, II : Geometric stacks and applications, 902, Amer. Math. Soc. (2008) MR2394633
33 C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324