Almost Coherent Modules and Almost Coherent Sheaves

Bogdan Zavyalov
Princeton University and Institute for Advanced Study, Princeton, USA
ORCID

This book is published open access.

	FrontmatterDownload pp. i–iv
	AbstractDownload p. vii
	ContentsDownload pp. ix–xi
1	IntroductionDownload pp. 1–16
2	Almost commutative algebraDownload pp. 17–76
3	Almost mathematics on ringed sitesDownload pp. 77–104
4	Almost coherent sheaves on schemes and formal schemesDownload pp. 105–149
5	Cohomological properties of almost coherent sheavesDownload pp. 151–172
6	$O^{+} / p$ -modulesDownload pp. 173–216
7	Almost coherence of “ $p$ -adic nearby cycles” nearby cyclesDownload pp. 217–267
A	Derived complete modulesDownload pp. 269–271
B	Perfectoid ringsDownload pp. 273–275
C	Strongly sheafy adic spacesDownload pp. 277–292
D	Achinger's result in the non-noetherian caseDownload pp. 293–298
	ReferencesDownload pp. 299–302