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1
T Annala , Base independent
algebraic cobordism , J. Pure Appl. Algebra 226 (2022)
106977 MR4346005
2
B Antieau , Various
remarks on Weibel’s conjecture , letter to Moritz Kerz
(2018)
3
A Asok , M
Hoyois , M Wendt , Affine
representability results in 𝔸 1 -homotopy theory, I : Vector
bundles , Duke Math. J. 166 (2017) 1923 MR3679884
4
T Bachmann ,
A A Khan , C Ravi , V Sosnilo ,
Categorical Milnor
squares and K-theory of algebraic stacks , Selecta Math.
28 (2022) 85 MR4487748
5
D Ben-Zvi , J
Francis , D Nadler , Integral
transforms and Drinfeld centers in derived algebraic
geometry , J. Amer. Math. Soc. 23 (2010) 909 MR2669705
6
A J Blumberg ,
D Gepner , G Tabuada , A universal
characterization of higher algebraic K -theory , Geom. Topol. 17 (2013) 733
MR3070515
7
T Bouis ,
On the motivic cohomology of mixed characteristic
schemes , PhD thesis, Université Paris-Saclay
(2024)
8
D C Cisinski ,
Descente par
éclatements en K -théorie
invariante par homotopie , Ann. of Math. 177 (2013) 425
MR3010804
9
D Clausen , A
Mathew , Hyperdescent and
étale K -theory , Invent.
Math. 225 (2021) 981 MR4296353
10
D Clausen , A
Mathew , N Naumann , J Noel , Descent in algebraic
K -theory and a conjecture of
Ausoni–Rognes , J. Eur. Math. Soc. 22 (2020) 1149
MR4071324
11
G Cortiñas ,
The
obstruction to excision in K -theory and in cyclic homology ,
Invent. Math. 164 (2006) 143 MR2207785
12
G Cortiñas , C
Haesemeyer , M Schlichting , C Weibel ,
Cyclic
homology, cdh-cohomology and negative K -theory , Ann. of Math. 167 (2008) 549
MR2415380
13
C Dahlhausen , G
Tamme , A
counterexample to pro-cdh descent for non-noetherian
schemes , (2022)
14
A I Efimov ,
K-theory and localizing invariants of large categories ,
preprint (2024) arXiv:2405.12169
15
E Elmanto , M
Morrow , Motivic cohomology of equicharacteristic
schemes , preprint (2023) arXiv:2309.08463
16
E Elmanto , M
Hoyois , R Iwasa , S Kelly , Cdh descent, cdarc
descent, and Milnor excision , Math. Ann. 379 (2021)
1011 MR4238259
17
O Gabber , S
Kelly , Points in
algebraic geometry , J. Pure Appl. Algebra 219 (2015)
4667 MR3346512
18
D Gaitsgory , N
Rozenblyum , DG indschemes ,
from: "Perspectives in representation theory" (editors P
Etingof, M Khovanov, A Savage), Contemp. Math. 610, Amer. Math.
Soc. (2014) 139 MR3220628
19
D Gaitsgory , N
Rozenblyum , A study in derived
algebraic geometry, II : Deformations, Lie theory and formal
geometry , 221, Amer. Math. Soc. (2017) MR3701353
20
T Geisser , L
Hesselholt , Bi-relative
algebraic K -theory and topological
cyclic homology , Invent. Math. 166 (2006) 359 MR2249803
21
T Geisser , L
Hesselholt , On relative
and bi-relative algebraic K -theory
of rings of finite characteristic , J. Amer. Math. Soc.
24 (2011) 29 MR2726598
22
T G Goodwillie ,
S Lichtenbaum , A cohomological bound
for the h -topology , Amer.
J. Math. 123 (2001) 425 MR1833147
23
A Grothendieck ,
Éléments
de géométrie algébrique, III : Étude cohomologique des
faisceaux cohérents, I , Inst. Hautes Études Sci. Publ.
Math. 11 (1961) 5 MR217085
24
A Grothendieck ,
Éléments
de géométrie algébrique, IV : Étude locale des schémas et des
morphismes de schémas, III , Inst. Hautes Études Sci.
Publ. Math. 28 (1966) 255 MR217086
25
A Grothendieck ,
J A Dieudonné , Éléments de géométrie algébrique,
I , 166, Springer (1971) MR3075000
26
C Haesemeyer ,
Descent
properties of homotopy K -theory , Duke Math. J. 125 (2004) 589
MR2166754
27
J Hekking , Graded
algebras, projective spectra and blow-ups in derived algebraic
geometry , preprint (2021) arXiv:2106.01270
28
M Henriksen , M
Jerison , The
space of minimal prime ideals of a commutative ring ,
Trans. Amer. Math. Soc. 115 (1965) 110 MR194880
29
C Huneke , I
Swanson , Integral closure of ideals, rings, and
modules , 336, Cambridge Univ. Press (2006) MR2266432
30
P Jaffard , Théorie
de la dimension dans les anneaux de polynomes , Fasc. 146,
Gauthier-Villars (1960) 79 MR117256
31
S Kelly ,
Non-reduced valuation rings and descent for smooth blowup
squares , preprint (2024) arXiv:2401.02706
32
S Kelly , M
Morrow , K -theory of valuation rings , Compos.
Math. 157 (2021) 1121 MR4264079
33
S Kelly , S
Saito , A procdh topology , preprint (2024) arXiv:2401.02699
34
M Kerz , On negative
algebraic K -groups , from:
"Proceedings of the International Congress of Mathematicians,
II : Invited lectures" (editors B Sirakov, P N de Souza, M
Viana), World Sci. (2018) 163 MR3966761
35
M Kerz , F
Strunk , On the vanishing
of negative homotopy K -theory , J. Pure Appl. Algebra 221
(2017) 1641 MR3614971
36
M Kerz , F
Strunk , G Tamme , Algebraic
K -theory and descent for
blow-ups , Invent. Math. 211 (2018) 523 MR3748313
37
M Kerz , S
Saito , G Tamme , K -theory of non-Archimedean rings, I ,
Doc. Math. 24 (2019) 1365 MR4012551
38
M Kerz , F
Strunk , G Tamme , Towards Vorst’s
conjecture in positive characteristic , Compos. Math.
157 (2021) 1143 MR4270122
39
M Kerz , S
Saito , G Tamme , K -theory of non-Archimedean rings, II ,
Nagoya Math. J. 251 (2023) 669 MR4637146
40
A A Khan ,
Algebraic K-theory
of quasi-smooth blow-ups and CDH descent , Ann. H.
Lebesgue 3 (2020) 1091 MR4149835
41
A A Khan , D
Rydh , Virtual Cartier
divisors and blow-ups , Selecta Math. 31 (2025) 67
MR4932694
42
A Krishna , An Artin–Rees
theorem in K -theory and
applications to zero cycles , J. Algebraic Geom. 19
(2010) 555 MR2629600
43
A Krishna , V
Srinivas , Zero-cycles and K -theory on normal surfaces , Ann. of
Math. 156 (2002) 155 MR1935844
44
M Land , G
Tamme , On the
K -theory of pullbacks ,
Ann. of Math. 190 (2019) 877 MR4024564
45
J Lurie , Derived algebraic
geometry , PhD thesis, Massachusetts Institute of
Technology (2004)
46
J Lurie , Higher
algebra , (2017)
47
J Lurie , Spectral
algebraic geometry , (2018)
48
M Morrow , A
historical overview of pro cdh descent in algebraic
K -theory and its relation to rigid
analytic varieties , preprint (2016) arXiv:1612.00418
49
M Morrow , Pro CDH-descent for
cyclic homology and K -theory , J. Inst. Math. Jussieu 15
(2016) 539 MR3505658
50
M Morrow , Pro unitality and
pro excision in algebraic K -theory
and cyclic homology , J. Reine Angew. Math. 736 (2018)
95 MR3769987
51
M Morrow , Thoughts
on Weibel’s conjecture , Oberwolfach Reports 19 (2022)
1354
52
M Raynaud , L
Gruson , Critères de platitude et
de projectivité : Techniques de “platification” d’un
module , Invent. Math. 13 (1971) 1 MR308104
53
C Scheiderer ,
Quasi-augmented
simplicial spaces, with an application to cohomological
dimension , J. Pure Appl. Algebra 81 (1992) 293 MR1179103
54
P Scholze , D
Clausen , Lectures
on condensed mathematics , (2019)
55
, The Stacks project ,
electronic reference (2005–)
56
A Suslin , V
Voevodsky , Bloch–Kato conjecture and motivic cohomology
with finite coefficients , from: "The arithmetic and
geometry of algebraic cycles" (editors B B Gordon,
J D Lewis, S Müller-Stach, S Saito, N Yui), NATO Sci. Ser.
C Math. Phys. Sci. 548, Kluwer (2000) 117 MR1744945
57
R W Thomason ,
Les
K -groupes d’un schéma éclaté et
une formule d’intersection excédentaire , Invent. Math.
112 (1993) 195 MR1207482
58
B Toën , G
Vezzosi , Homotopical
algebraic geometry, I : Topos theory , Adv. Math. 193
(2005) 257 MR2137288
59
B Toën , G
Vezzosi , Homotopical algebraic
geometry, II : Geometric stacks and applications , 902,
Amer. Math. Soc. (2008) MR2394633
60
V Voevodsky ,
Homotopy theory of
simplicial sheaves in completely decomposable
topologies , J. Pure Appl. Algebra 214 (2010) 1384
MR2593670
61
F Waldhausen ,
Algebraic K -theory of
topological spaces, I , from: "Algebraic and geometric
topology" (editor R J Milgram), Proc. Sympos. Pure Math.
XXXII, Amer. Math. Soc. (1978) 35 MR520492
62
C A Weibel ,
The K -book : an introduction to algebraic
K -theory , 145, Amer. Math.
Soc. (2013) MR3076731