Chapter 13

Non-pluripolar measures and massAAF7D28E18FB

Non-pluripolar and weighted measures, mass bounds, and volume.

Sections and subsections

1. 13.1 Non-pluripolar productsE478B9E17C75
2. 13.2 Truncation and plurifine localityA56454EDE5B3
3. 13.3 Closedness and cutoff gradients4D61EAFD1D21
4. 13.4 Bounded factors and the first-degree productF483C973DB98
5. 13.5 Global finiteness and bounded cohomological mass48A11CF18369
   1. 13.5.7 Mixed lower bounds1BA47696B5FB
6. 13.6 Fiber integration and modificationsFBE95DA26374
7. 13.7 Capacity convergence and loss of mass52BF527413C6
   1. 13.7.7 Ordered error sets, monotone nets and weights64A0C33C8690
8. 13.8 Mass comparison and projective fibersC76D4F3419F8
9. 13.9 Maximal mass and comparisonCCB85E469493
10. 13.10 Bedford–Taylor theory7CD616A8B803
11. 13.11 The non-pluripolar products77A0C8665B8A
12. 13.12 Quasi-continuous functionsAD5CC24EA726
13. 13.13 Properties of non-pluripolar products01C01D21DDD2
14. 13.14 Non-pluripolar Monge–Ampère measuresB724B74AE68C
    1. 13.14.1 Truncation and non-pluripolar measures600C2F850586
    2. 13.14.5 Contact sets900BB92BD0E3
    3. 13.14.7 Weighted lower semicontinuity74BA8C79EB05
    4. 13.14.9 Density and trace inequalities7A696CA7D25B
    5. 13.14.13 The bounded mass propertyD919086FF578
    6. 13.14.17 Infinite mass with trivial multiplier ideals54BB8D4D734D
    7. 13.14.20 Integrable Hessians and infinite mass25C7A8032994
15. 13.15 Weighted Monge–Ampère measuresA6A92DB9F7DA
    1. 13.15.1 Range and restricted massBD96324E19C7
    2. 13.15.5 Exponential damping569E9BAF1CA2
    3. 13.15.8 Decreasing weights and capacity continuity1FE9FE4F07DE
    4. 13.15.12 Uniform tails and undamped convergence0D2E3E7B4DFD
    5. 13.15.16 Mass concentrationA75B7FC1B6D9
    6. 13.15.19 Intermediate currents of a shrinking sequence0117A750C1BE
    7. 13.15.22 Damping for a smooth backgroundED067EDD9B9F
16. 13.16 Volumes under bounded massEEFEDC3AE6FE
17. 13.17 Comparison of singularity volumes32986EE97902
18. 13.18 Volume deficits and relative full massE8D1B2CE6F8F
19. 13.19 Domination and ordinary envelopes832E0568D7C3
20. 13.20 Strict barriers and background variation904042ECF361
21. 13.21 Monotone limitsA8EAC258D61B
    1. 13.21.6 Recovery of envelope systems237A3786C187
22. 13.22 Cauchy convergence of model potentialsF1D6B77D3DEE
23. 13.23 Rooftops and capacity convergence1D6292952FE6
24. 13.24 Volumes of multiplier-ideal envelopes146F3DD22A85
    1. 13.24.6 A countable divisorial positivity criterion1D7E7321D20C
25. 13.25 Model comparison under background changesB2557A0A9699
26. 13.26 Two-sided background perturbationsE6BBFE91C762
27. 13.27 A complete metric on positive-volume models7EAA1D7446C4
28. 13.28 Model potentials on curvesE6AC80354EB9
    1. 13.28.15 The ordinary-type topology on a curve7E4C501C1CA6
    2. 13.28.18 Concentration of diffuse polar curvature0F287C888CF7
    3. 13.28.20 Convergence for all obstacles70267E3AB91D
29. 13.29 Background changes on curves3A638A8288E0
30. 13.30 A complete space over varying curve backgroundsF36B844DE285