Algebraic & Geometric Topology Volume 24, issue 3 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

The localization spectral sequence in the motivic setting

Clément Dupont and Daniel Juteau

Algebraic & Geometric Topology 24 (2024) 1431–1466

DOI: 10.2140/agt.2024.24.1431

Bibliography

1	J Ayoub, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique, I, 314, Soc. Math. France (2007) MR2423375
2	J Ayoub, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique, II, 315, Soc. Math. France (2007) MR2438151
3	J Ayoub, Note sur les opérations de Grothendieck et la réalisation de Betti, J. Inst. Math. Jussieu 9 (2010) 225 MR2602027
4	J Ayoub, A guide to (étale) motivic sheaves, from: "Proceedings of the International Congress of Mathematicians, II" (editors S Y Jang, Y R Kim, D W Lee, I Ye), Kyung Moon Sa (2014) 1101 MR3728654
5	J Ayoub, La réalisation étale et les opérations de Grothendieck, Ann. Sci. École Norm. Sup. 47 (2014) 1 MR3205601
6	J Ayoub, S Zucker, Relative Artin motives and the reductive Borel–Serre compactification of a locally symmetric variety, Invent. Math. 188 (2012) 277 MR2909768
7	K Baclawski, Cohen–Macaulay ordered sets, J. Algebra 63 (1980) 226 MR0568572
8	A A Beĭlinson, J Bernstein, P Deligne, Faisceaux pervers, from: "Analysis and topology on singular spaces, I", Astérisque 100, Soc. Math. France (1982) 5 MR0751966
9	C Bibby, Cohomology of abelian arrangements, Proc. Amer. Math. Soc. 144 (2016) 3093 MR3487239
10	A Björner, T Ekedahl, Subspace arrangements over finite fields: cohomological and enumerative aspects, Adv. Math. 129 (1997) 159 MR1462732
11	A Björner, A M Garsia, R P Stanley, An introduction to Cohen–Macaulay partially ordered sets, from: "Ordered sets" (editor I Rival), NATO Adv. Study Inst. Ser. C: Math. Phys. Sci. 83, Reidel (1982) 583 MR0661307
12	F Borceux, Handbook of categorical algebra, I: Basic category theory, 50, Cambridge Univ. Press (1994) MR1291599
13	A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
14	D C Cisinski, F Déglise, Triangulated categories of mixed motives, Springer (2019) MR3971240
15	D C Cisinski, A Neeman, Additivity for derivator K–theory, Adv. Math. 217 (2008) 1381 MR2382732
16	F R Cohen, L R Taylor, Computations of Gelfand–Fuks cohomology, the cohomology of function spaces, and the cohomology of configuration spaces, from: "Geometric applications of homotopy theory, I" (editors M G Barratt, M E Mahowald), Lecture Notes in Math. 657, Springer (1978) 106 MR0513543
17	P Deligne, Théorie de Hodge, II, Inst. Hautes Études Sci. Publ. Math. 40 (1971) 5 MR0498551
18	C Dupont, The Orlik–Solomon model for hypersurface arrangements, Ann. Inst. Fourier (Grenoble) 65 (2015) 2507 MR3449588
19	C Dupont, Relative cohomology of bi-arrangements, Trans. Amer. Math. Soc. 369 (2017) 8105 MR3695856
20	C Dupont, J Fresán, A construction of the polylogarithm motive, preprint (2023) arXiv:2305.00789
21	T Ekedahl, On the adic formalism, from: "The Grothendieck Festschrift, II" (editors P Cartier, L Illusie, N M Katz, G Laumon, K A Ribet), Progr. Math. 87, Birkhäuser (1990) 197 MR1106899
22	J Franke, Uniqueness theorems for certain triangulated categories possessing an Adams spectral sequence, preprint (1996)
23	E Getzler, Resolving mixed Hodge modules on configuration spaces, Duke Math. J. 96 (1999) 175 MR1663927
24	A B Goncharov, Periods and mixed motives, preprint (2002) arXiv:math/0202154
25	M Goresky, R MacPherson, Stratified Morse theory, 14, Springer (1988) MR0932724
26	M Groth, Derivators, pointed derivators and stable derivators, Algebr. Geom. Topol. 13 (2013) 313 MR3031644
27	A Grothendieck, Les dérivateurs, unpublished manuscript (1991)
28	A Heller, Homotopy theories, 383, Amer. Math. Soc. (1988) MR0920963
29	F Ivorra, Perverse, Hodge and motivic realizations of étale motives, Compos. Math. 152 (2016) 1237 MR3518311
30	I Kříž, On the rational homotopy type of configuration spaces, Ann. of Math. 139 (1994) 227 MR1274092
31	E Looijenga, Cohomology of ℳ₃ and ℳ₃¹, from: "Mapping class groups and moduli spaces of Riemann surfaces" (editors C F Bödigheimer, R M Hain), Contemp. Math. 150, Amer. Math. Soc. (1993) 205 MR1234266
32	G Maltsiniotis, Introduction à la théorie des dérivateurs, preprint (2001)
33	F Morel, V Voevodsky, 𝔸¹–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
34	P Orlik, L Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980) 167 MR0558866
35	P Orlik, H Terao, Arrangements of hyperplanes, 300, Springer (1992) MR1217488
36	D Petersen, A spectral sequence for stratified spaces and configuration spaces of points, Geom. Topol. 21 (2017) 2527 MR3654116
37	M Saito, Mixed Hodge modules, Publ. Res. Inst. Math. Sci. 26 (1990) 221 MR1047415
38	P Tosteson, Lattice spectral sequences and cohomology of configuration spaces, preprint (2016) arXiv:1612.06034
39	B Totaro, Configuration spaces of algebraic varieties, Topology 35 (1996) 1057 MR1404924