Volume 21, issue 1 (2021)

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Rigidity in étale motivic stable homotopy theory

Tom Bachmann

Algebraic & Geometric Topology 21 (2021) 173–209
Bibliography
1 M Artin, Dimension cohomologique : premiers résultats, from: "Théorie des topos et cohomologie étale des schémas, Tome 3 (SGA 43 )" (editors M Artin, A Grothendieck, J L Verdier), Lecture Notes in Math. 305, Springer (1973) MR0354654
2 M Artin, Théorème de changement de base pour un morphisme propre : fin de la démonstration, from: "Théorie des topos et cohomologie étale des schémas, Tome 3 (SGA 43 )" (editors M Artin, A Grothendieck, J L Verdier), Lecture Notes in Math. 305, Springer (1973) MR0354654
3 M Artin, Morphismes acycliques, from: "Théorie des topos et cohomologie étale des schémas, Tome 3 (SGA 43 )" (editors M Artin, A Grothendieck, J L Verdier), Lecture Notes in Math. 305, Springer (1973) MR0354654
4 J Ayoub, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique, II, 315, Soc. Math. France (2007) MR2438151
5 J Ayoub, La réalisation étale et les opérations de Grothendieck, Ann. Sci. École Norm. Sup. 47 (2014) 1 MR3205601
6 T Bachmann, Motivic and real étale stable homotopy theory, Compos. Math. 154 (2018) 883 MR3781990
7 T Bachmann, On the conservativity of the functor assigning to a motivic spectrum its motive, Duke Math. J. 167 (2018) 1525 MR3807316
8 T Bachmann, M Hoyois, Norms in motivic homotopy theory, preprint (2017) arXiv:1711.03061
9 C Barwick, S Glasman, A note on stable recollements, preprint (2016) arXiv:1607.02064
10 P Belmans, A J de Jong, others, The Stacks project, electronic reference (2005–)
11 B Bhatt, P Scholze, The pro-étale topology for schemes, from: "De la géométrie algébrique aux formes automorphes, I" (editors J B Bost, P Boyer, A Genestier, L Lafforgue, S Lysenko, S Morel, B C Ngo), Astérisque 369, Soc. Math. France (2015) 99 MR3379634
12 A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
13 A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
14 D C Cisinski, F Déglise, Étale motives, Compos. Math. 152 (2016) 556 MR3477640
15 D C Cisinski, F Déglise, Triangulated categories of mixed motives, Springer (2019) MR3971240
16 D Clausen, A Mathew, Hyperdescent and étale K–theory, preprint (2019) arXiv:1905.06611
17 C Deninger, A proper base change theorem for nontorsion sheaves in étale cohomology, J. Pure Appl. Algebra 50 (1988) 231 MR938616
18 D Dugger, S Hollander, D C Isaksen, Hypercovers and simplicial presheaves, Math. Proc. Cambridge Philos. Soc. 136 (2004) 9 MR2034012
19 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
20 A Grothendieck, Site et topos étales d’un schéma, from: "Théorie des topos et cohomologie étale des schémas, Tome 2 (SGA 42 )" (editors M Artin, A Grothendieck, J L Verdier), Lecture Notes in Math. 270, Springer (1972) MR0354653
21 A Grothendieck, Cohomologie l–adique et fonctions L (SGA 5), 589, Springer (1977) MR0491704
22 C Hasemeyer, J Hornbostel, Motives and etale motives with finite coefficients, K–Theory 34 (2005) 195 MR2182375
23 L Illusie, Y Laszlo, F Orgogozo, editors, Travaux de Gabber sur l’uniformisation locale et la cohomologie étale des schémas quasi-excellents, 363–364, Soc. Math. France (2014) MR3309086
24 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
25 J Lurie, Higher algebra, preprint (2017)
26 J Lurie, Spectral algebraic geometry, preprint (2018)
27 A Mathew, N Naumann, J Noel, Nilpotence and descent in equivariant stable homotopy theory, Adv. Math. 305 (2017) 994 MR3570153
28 F Morel, An introduction to 𝔸1–homotopy theory, from: "Contemporary developments in algebraic K–theory" (editors M Karoubi, A O Kuku, C Pedrini), ICTP Lect. Notes 15, Abdus Salam Int. Cent. Theoret. Phys. (2004) 357 MR2175638
29 F Morel, 𝔸1–algebraic topology over a field, 2052, Springer (2012) MR2934577
30 J Neukirch, Algebraic number theory, 322, Springer (1999) MR1697859
31 S S Shatz, Profinite groups, arithmetic, and geometry, 67, Princeton Univ. Press (1972) MR0347778
32 A Suslin, V Voevodsky, Singular homology of abstract algebraic varieties, Invent. Math. 123 (1996) 61 MR1376246
33 V Voevodsky, Triangulated categories of motives over a field, from: "Cycles, transfers, and motivic homology theories" (editors J N Mather, E M Stein), Ann. of Math. Stud. 143, Princeton Univ. Press (2000) 188 MR1764202
34 C A Weibel, The K–book : an introduction to algebraic K–theory, 145, Amer. Math. Soc. (2013) MR3076731