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Primes and fields in stable motivic homotopy theory

Jeremiah Heller and Kyle M Ormsby

Geometry & Topology 22 (2018) 2187–2218
Bibliography
1 M Andrews, A non-nilpotent self map of S0∕η over , preprint (2014)
2 J Ayoub, Motives and algebraic cycles: a selection of conjectures and open questions, from: "Hodge theory and L2–analysis" (editor L Ji), International Press (2017) 87
3 T Bachmann, On the conservativity of the functor assigning to a motivic spectrum its motive, preprint (2015) arXiv:1506.07375
4 T Bachmann, Motivic and real étale stable homotopy theory, preprint (2016) arXiv:1608.08855
5 P Balmer, The spectrum of prime ideals in tensor triangulated categories, J. Reine Angew. Math. 588 (2005) 149 MR2196732
6 P Balmer, Supports and filtrations in algebraic geometry and modular representation theory, Amer. J. Math. 129 (2007) 1227 MR2354319
7 P Balmer, Spectra, spectra, spectra — Tensor triangular spectra versus Zariski spectra of endomorphism rings, Algebr. Geom. Topol. 10 (2010) 1521 MR2661535
8 P Balmer, Tensor triangular geometry, from: "Proceedings of the International Congress of Mathematicians, II" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan Book Agency (2010) 85 MR2827786
9 P Balmer, On the surjectivity of the map of spectra associated to a tensor-triangulated functor, preprint (2017) arXiv:1706.03291
10 P Balmer, B Sanders, The spectrum of the equivariant stable homotopy category of a finite group, Invent. Math. 208 (2017) 283 MR3621837
11 D C Cisinski, F Déglise, Triangulated categories of mixed motives, preprint (2009) arXiv:0912.2110
12 D Dugger, D C Isaksen, Motivic cell structures, Algebr. Geom. Topol. 5 (2005) 615 MR2153114
13 H Fausk, P Hu, J P May, Isomorphisms between left and right adjoints, Theory Appl. Categ. 11 (2003) 107 MR1988072
14 J J Gutiérrez, O Röndigs, M Spitzweck, P A Østvær, Motivic slices and coloured operads, J. Topol. 5 (2012) 727 MR2971612
15 J Heller, K Ormsby, Galois equivariance and stable motivic homotopy theory, Trans. Amer. Math. Soc. 368 (2016) 8047 MR3546793
16 M J Hopkins, J H Smith, Nilpotence and stable homotopy theory, II, Ann. of Math. 148 (1998) 1 MR1652975
17 J Hornbostel, A1–representability of hermitian K–theory and Witt groups, Topology 44 (2005) 661 MR2122220
18 M Hovey, J H Palmieri, N P Strickland, Axiomatic stable homotopy theory, 610, Amer. Math. Soc. (1997) MR1388895
19 P Hu, On the Picard group of the stable 𝔸1–homotopy category, Topology 44 (2005) 609 MR2122218
20 J F Jardine, Motivic symmetric spectra, Doc. Math. 5 (2000) 445 MR1787949
21 R Joachimi, Thick ideals in equivariant and motivic stable homotopy categories, preprint (2015) arXiv:1503.08456
22 S Kelly, Some observations about motivic tensor triangulated geometry over a finite field, preprint (2016) arXiv:1608.02913
23 M Levine, Y Yang, G Zhao, Algebraic elliptic cohomology theory and flops, I, preprint (2013) arXiv:1311.2159
24 F Lorenz, J Leicht, Die Primideale des Wittschen Ringes, Invent. Math. 10 (1970) 82 MR0266949
25 J Milnor, Algebraic K–theory and quadratic forms, Invent. Math. 9 (1969/1970) 318 MR0260844
26 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
27 F Morel, On the motivic π0 of the sphere spectrum, from: "Axiomatic, enriched and motivic homotopy theory" (editor J P C Greenlees), NATO Sci. Ser. II Math. Phys. Chem. 131, Kluwer (2004) 219 MR2061856
28 F Morel, 𝔸1–algebraic topology over a field, 2052, Springer (2012) MR2934577
29 T J Peter, Prime ideals of mixed Artin–Tate motives, J. K-Theory 11 (2013) 331 MR3061000
30 O Röndigs, P A Østvær, Modules over motivic cohomology, Adv. Math. 219 (2008) 689 MR2435654
31 O Röndigs, P A Østvær, Rigidity in motivic homotopy theory, Math. Ann. 341 (2008) 651 MR2399164
32 R Thornton, The homogeneous spectrum of Milnor–Witt K–theory, J. Algebra 459 (2016) 376 MR3503978
33 V Voevodsky, A1–homotopy theory, Doc. Math. Extra Vol. ICM I (1998) 579 MR1648048
34 V Voevodsky, Motivic cohomology with Z∕2–coefficients, Publ. Math. Inst. Hautes Études Sci. 98 (2003) 59 MR2031199