Volume 21, issue 4 (2021)

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

Volume 22
Issue 2, 473–990
Issue 1, 1–472

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Lannes's $T$–functor and equivariant Chow rings

David Hemminger

Algebraic & Geometric Topology 21 (2021) 1881–1910
Bibliography
1 P Belmans, A J de Jong, others, The Stacks project, electronic reference (2005–)
2 M Brion, Linearization of algebraic group actions, from: "Handbook of group actions, IV" (editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math. 41, International (2018) 291 MR3888690
3 P Brosnan, Steenrod operations in Chow theory, Trans. Amer. Math. Soc. 355 (2003) 1869 MR1953530
4 J Duflot, Smooth toral actions, Topology 22 (1983) 253 MR710100
5 D Edidin, W Graham, Equivariant intersection theory, Invent. Math. 131 (1998) 595 MR1614555
6 W Fulton, Intersection theory, 2, Springer (1984) MR732620
7 P Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962) 323 MR232821
8 P Guillot, Steenrod operations on the Chow ring of a classifying space, Adv. Math. 196 (2005) 276 MR2166309
9 D Heard, The topological nilpotence degree of a Noetherian unstable algebra, preprint (2020) arXiv:2003.13267
10 H W Henn, Cohomology of groups and unstable modules over the Steenrod algebra, from: "Homotopy theoretic methods in group cohomology", Birkhäuser (2001) 55 MR1926776
11 H W Henn, J Lannes, L Schwartz, Localizations of unstable A–modules and equivariant mod p cohomology, Math. Ann. 301 (1995) 23 MR1312569
12 M Hoyois, S Kelly, P A Østvær, The motivic Steenrod algebra in positive characteristic, J. Eur. Math. Soc. 19 (2017) 3813 MR3730515
13 S Keel, S Mori, Quotients by groupoids, Ann. of Math. 145 (1997) 193 MR1432041
14 N J Kuhn, Nilpotence in group cohomology, Proc. Edinb. Math. Soc. 56 (2013) 151 MR3021408
15 J Lannes, Sur la cohomologie modulo p des p–groupes abéliens élémentaires, from: "Homotopy theory" (editors E Rees, J D S Jones), Lond. Math. Soc. Lect. Note Ser. 117, Cambridge Univ. Press (1987) 97 MR932261
16 J Lannes, Sur les espaces fonctionnels dont la source est le classifiant d’un p–groupe abélien élémentaire, Inst. Hautes Études Sci. Publ. Math. 75 (1992) 135 MR1179079
17 J Lannes, S Zarati, Sur les 𝒰–injectifs, Ann. Sci. École Norm. Sup. 19 (1986) 303 MR868302
18 J S Milne, Algebraic groups: the theory of group schemes of finite type over a field, 170, Cambridge Univ. Press (2017) MR3729270
19 F Morel, V Voevodsky, 𝔸1–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
20 D Quillen, The spectrum of an equivariant cohomology ring, I, Ann. of Math. 94 (1971) 549 MR298694
21 J Riou, Opérations de Steenrod motiviques, preprint (2012) arXiv:1207.3121
22 L Schwartz, Unstable modules over the Steenrod algebra and Sullivan’s fixed point set conjecture, Univ. Chicago Press (1994) MR1282727
23 H Sumihiro, Equivariant completion, J. Math. Kyoto Univ. 14 (1974) 1 MR337963
24 B Totaro, The Chow ring of a classifying space, from: "Algebraic K–theory" (editors W Raskind, C Weibel), Proc. Sympos. Pure Math. 67, Amer. Math. Soc. (1999) 249 MR1743244
25 B Totaro, Group cohomology and algebraic cycles, 204, Cambridge Univ. Press (2014) MR3185743
26 B Totaro, The motive of a classifying space, Geom. Topol. 20 (2016) 2079 MR3548464
27 V Voevodsky, Reduced power operations in motivic cohomology, Publ. Math. Inst. Hautes Études Sci. 98 (2003) 1 MR2031198
28 N Yagita, Chow rings of classifying spaces of extraspecial p–groups, from: "Recent progress in homotopy theory" (editors D M Davis, J Morava, G Nishida, W S Wilson, N Yagita), Contemp. Math. 293, Amer. Math. Soc. (2002) 397 MR1890746