Volume 23, issue 7 (2019)

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

Volume 29, 1 issue

Volume 28, 9 issues

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
The Morel–Voevodsky localization theorem in spectral algebraic geometry

Adeel A Khan

Geometry & Topology 23 (2019) 3647–3685
Bibliography
1 B Antieau, D Gepner, Brauer groups and étale cohomology in derived algebraic geometry, Geom. Topol. 18 (2014) 1149 MR3190610
2 A Asok, M Hoyois, M Wendt, Affine representability results in 𝔸1–homotopy theory, I : Vector bundles, Duke Math. J. 166 (2017) 1923 MR3679884
3 D C Cisinski, A A Khan, Brave new motivic homotopy theory, II : Homotopy invariant K–theory, preprint (2017) arXiv:1705.03340
4 D Clausen, A Mathew, N Naumann, J Noel, Descent in algebraic K–theory and a conjecture of Ausoni–Rognes, preprint (2016) arXiv:1606.03328
5 D Gaitsgory, N Rozenblyum, Crystals and D–modules, Pure Appl. Math. Q. 10 (2014) 57 MR3264953
6 A Grothendieck, Eléments de géométrie algébrique, IV : Étude locale des schémas et des morphismes de schémas, IV, Inst. Hautes Études Sci. Publ. Math. 32 (1967) 5 MR0238860
7 M Hoyois, A quadratic refinement of the Grothendieck–Lefschetz–Verdier trace formula, Algebr. Geom. Topol. 14 (2014) 3603 MR3302973
8 M Hoyois, The six operations in equivariant motivic homotopy theory, Adv. Math. 305 (2017) 197 MR3570135
9 A Khan, Motivic homotopy theory in derived algebraic geometry, PhD thesis, Universität Duisburg-Essen (2016)
10 D Knutson, Algebraic spaces, 203, Springer (1971) MR0302647
11 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
12 J Lurie, Higher algebra, book project (2012)
13 J Lurie, Spectral algebraic geometry, book project (2016)
14 F Morel, V Voevodsky, A1–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
15 M Robalo, K–theory and the bridge from motives to noncommutative motives, Adv. Math. 269 (2015) 399 MR3281141
16 B Toën, G Vezzosi, Homotopical algebraic geometry, II : Geometric stacks and applications, 902, Amer. Math. Soc. (2008) MR2394633
17 V Voevodsky, Homotopy theory of simplicial sheaves in completely decomposable topologies, J. Pure Appl. Algebra 214 (2010) 1384 MR2593670