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On endomorphisms of the de Rham cohomology functor

Shizhang Li and Shubhodip Mondal

Geometry & Topology 28 (2024) 759–802
Bibliography
1 P Achinger, J Suh, Some refinements of the Deligne–Illusie theorem, Algebra Number Theory 17 (2023) 465 MR4564764
2 P Belmans, A J de Jong, others, The Stacks project, electronic reference (2005–)
3 B Bhatt, p–adic derived de Rham cohomology, preprint (2012) arXiv:1204.6560
4 B Bhatt, Prismatic F–gauges, lecture notes (2022)
5 B Bhatt, J Lurie, Absolute prismatic cohomology, preprint (2022) arXiv:2201.06120
6 B Bhatt, J Lurie, The prismatization of p–adic formal schemes, preprint (2022) arXiv:2201.06124
7 B Bhatt, J Lurie, A Mathew, Revisiting the de Rham–Witt complex, 424, Soc. Math. France (2021) MR4275461
8 B Bhatt, M Morrow, P Scholze, Integral p–adic Hodge theory, Publ. Math. Inst. Hautes Études Sci. 128 (2018) 219 MR3905467
9 B Bhatt, M Morrow, P Scholze, Topological Hochschild homology and integral p–adic Hodge theory, Publ. Math. Inst. Hautes Études Sci. 129 (2019) 199 MR3949030
10 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
11 B Bhatt, P Scholze, Prisms and prismatic cohomology, Ann. of Math. 196 (2022) 1135 MR4502597
12 P Deligne, L Illusie, Relèvements modulo p2 et décomposition du complexe de de Rham, Invent. Math. 89 (1987) 247 MR0894379
13 V Drinfeld, A stacky approach to crystals, preprint (2018) arXiv:1810.11853
14 V Drinfeld, Prismatization, preprint (2020) arXiv:2005.04746
15 V Drinfeld, A 1–dimensional formal group over the prismatization of Spf p, preprint (2021) arXiv:2107.11466
16 J M Fontaine, W Messing, p–adic periods and p–adic étale cohomology, from: "Current trends in arithmetical algebraic geometry" (editor K A Ribet), Contemp. Math. 67, Amer. Math. Soc. (1987) 179 MR0902593
17 L Illusie, Complexe cotangent et déformations, I, 239, Springer (1971) MR0491680
18 K Kato, On p–adic vanishing cycles (application of ideas of Fontaine–Messing), from: "Algebraic geometry" (editor T Oda), Adv. Stud. Pure Math. 10, North-Holland (1987) 207 MR0946241
19 D Kubrak, A Prikhodko, p–adic Hodge theory for Artin stacks, preprint (2021) arXiv:2105.05319
20 D Kubrak, A Prikhodko, Hodge-to–de Rham degeneration for stacks, Int. Math. Res. Not. 2022 (2022) 12852 MR4475269
21 S Li, T Liu, Comparison of prismatic cohomology and derived de Rham cohomology, J. Eur. Math. Soc. (2023)
22 J Lurie, Derived algebraic geometry, (2004)
23 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
24 S Mondal, 𝔾aperf–modules and de Rham cohomology, Adv. Math. 409 (2022) 108691 MR4483247
25 S Mondal, Reconstruction of the stacky approach to de Rham cohomology, Math. Z. 302 (2022) 687 MR4480206
26 T Moulinos, M Robalo, B Toën, A universal Hochschild–Kostant–Rosenberg theorem, Geom. Topol. 26 (2022) 777
27 A Petrov, Non-decomposability of the de Rham complex and non-semisimplicity of the Sen operator, preprint (2023) arXiv:2302.11389
28 C Simpson, Homotopy over the complex numbers and generalized de Rham cohomology, from: "Moduli of vector bundles" (editor M Maruyama), Lecture Notes in Pure and Appl. Math. 179, Dekker (1996) 229 MR1397992
29 B Toën, Champs affines, Selecta Math. 12 (2006) 39 MR2244263