Degenerate Complex Monge–Ampère Equations

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	FrontmatterDownload pp. i–iv
	IntroductionDownload pp. v–xv
	ContentsDownload pp. xvii–xxiv
	Part I The local theorypp. 1–2
1	Plurisubharmonic functionspp. 3–37
2	Positive currentspp. 39–74
3	The complex Monge–Ampère operatorpp. 75–100
4	The Monge–Ampère capacitypp. 101–129
5	The Dirichlet problempp. 131–160
6	Viscosity solutionspp. 161–187
	Part II Pluripotential theory on compact manifoldsp. 189
7	Compact Kähler manifoldspp. 191–214
8	Quasi-plurisubharmonic functionspp. 215–234
9	Envelopes and capacitiespp. 235–255
10	Finite energy classespp. 257–285
	Part III Solving complex Monge–Ampère equationsp. 287
11	The variational approachpp. 289–314
12	Uniform a priori estimatespp. 315–342
13	The viscosity approachpp. 343–361
14	Smooth solutionspp. 363–386
	Part IV Singular Kähler–Einstein metricsp. 387
15	Canonical metricspp. 389–417
16	Singularities and the Minimal Model Programpp. 419–450
17	Bibliographypp. 451–467
	Indexpp. 469–472