Chapter 18

Multiplier-ideal models and partial equilibriumE0D5368D9D4A

I-good singularities, partial kernels, and quotient equilibrium.

Sections and subsections

1. 18.1 I-good singularitiesA058A93BF381
   1. 18.1.1 The notion of $\mathcal{I}$-good singularities466586A864A3
   2. 18.1.16 Properties of $\mathcal{I}$-good singularitiesCE8C594C13B9
   3. 18.1.20 Mixed volumes80A2DBEB2B97
   4. 18.1.44 The volumes of Hermitian pseudo-effective line bundles91B566E4374E
2. 18.2 Multiplier-ideal envelopes and I-goodness530E72454328
3. 18.3 The Kähler characterization649A8A26E78B
4. 18.4 Ideal projection3458DC26AA54
   1. 18.4.7 Analytic and divisorial singularities89E4AF40A761
5. 18.5 Changes of background and envelope massFD3DFA6C79CF
   1. 18.5.3 Envelope equality and infinite mass1A21A12C70DE
6. 18.6 geometry of ideal classes3D693DBCCBE2
   1. 18.6.3 Completion on a curveEFFAC36297D5
   2. 18.6.5 Mass and capacity convergenceD9DB58D85DFB
   3. 18.6.7 Comparison with scalar normalization0F1DD25AE72E
7. 18.7 Limits of analytic envelopesE69A0F80536C
   1. 18.7.4 Dyadic regularization3A07CE3E627A
   2. 18.7.8 Absorbing the curvature error13DB6841F63C
8. 18.8 A topology on ordinary singularity types8E117060E468
9. 18.9 Analytic closureE3C1856717ED
10. 18.10 Separation and mass85FB0412C472
11. 18.11 Transport with an obstacle2C83B2C35668
12. 18.12 All smooth obstaclesB61E129D450F
13. 18.13 Countable poles and all obstaclesA941DC64EED0
14. 18.14 Relative divisors and fiber obstaclesF77ABCE68FED
15. 18.15 Divisorial products and zero volumeFCC95AC9CD7B
16. 18.16 Several curve factorsCCB2410A352E
17. 18.17 Varying the curve coefficientsE1C8539A70B7
    1. 18.17.4 Comparing bounded model spaces723A61B34308
18. 18.18 Arbitrary curve backgrounds16EA76D7DAAB
19. 18.19 Equality below all obstacles on separated products627A32EBF892
20. 18.20 Auxiliary compact complex factors42B1A5F53675
21. 18.21 A polar metric in a background with unbounded mass49135DC5A99F
22. 18.22 Models over a curve00A545D724DB
23. 18.23 Finite curve factors9BCD2B4E97EF
24. 18.24 Models pulled back by a finite curve mapEB49D847F199
25. 18.25 Hopf surface fibers and unbounded ambient massB094CC4C0076
26. 18.26 Complete model topologies987BD480177F
    1. 18.26.1 Polar curvature in higher dimension83EE9021272B
    2. 18.26.6 Gauduchon polar trace comparisons6C8B6C6B86C3
    3. 18.26.14 Diffuse product poles2F85E85CE543
27. 18.27 Small curvature and strict ordinary types0A2CF48796FA
28. 18.28 Partial Bergman kernels065B04510A8A
    1. 18.28.1 Partial envelopes9E595DC6361B
    2. 18.28.19 Partial equilibrium measuresB13AC61C497D
    3. 18.28.37 Quantization of partial equilibrium measures0211344889F8
    4. 18.28.38 Bernstein–Markov measuresB2D64A3DB08E
29. 18.29 Partial kernels and quotient equilibriumB52A879692D6
30. 18.30 Selected spaces and partial Bergman kernelsF62F806EF43E
31. 18.31 A local Bernstein–Markov estimate71CAA1E8F43F
32. 18.32 Partial envelopes on a weighted compact set848269EDF931
33. 18.33 An upper bound for partial Fubini–Study limits2502C12D48F4
34. 18.34 The determinant functional3AC0CF30AE00
    1. 18.34.3 Dependence on the continuous weight6D1351EF2D7C
    2. 18.34.14 Stability of normalized kernels2BFA87C25210
35. 18.35 Partial kernels under a modificationD537C70B64A0
    1. 18.35.4 Convergence with a Kähler modification1B62021184B4
36. 18.36 Kernels on a fibration8EDC1869ED38
    1. 18.36.2 The quotient equilibrium measure29138044FA48
    2. 18.36.4 The Hopf equilibrium measure16C99F55F2A7
37. 18.37 Isolated logarithmic poles on a fibration79DB60788E3F
38. 18.38 A point pole on the Hopf manifoldCFB70C5F514C
39. 18.39 Singularities along a section over a divisorDFED5BDE8678
    1. 18.39.6 A bounded divisorial band from fiber integrability14F47AA5A61B
    2. 18.39.11 Several crossing base divisors9C902F002FA9
    3. 18.39.15 Fiber integrability on a modified baseA6E0B69D347F
    4. 18.39.18 Semipositive residuals with positive volume27FE241587D2
    5. 18.39.21 Fixed exceptional orders and coefficient thresholds64330C0C7BF6
    6. 18.39.23 A semipositive residual with nonzero defect5AF8FED16874
40. 18.40 Horizontal poles over projective space6109F3CDB146
    1. 18.40.5 The domination envelope6419DC6AC605
    2. 18.40.6 Binomial kernels3220889B229A
    3. 18.40.8 Changing the integration volumeDF2D0299BE89
41. 18.41 Degenerate curvature and growing vanishing orders99460DD0DBB7
    1. 18.41.4 A uniform tail estimateEB75AE06118D
    2. 18.41.8 The limiting envelope and the transition scale3F7E1C843ABB
42. 18.42 Localization on curvesB3DCF0B463CE
    1. 18.42.9 Curvature quadrature domains3CBD30511EFA
    2. 18.42.12 Gaussian transitions at curvature boundaries77CA2588A10E
    3. 18.42.26 Growth ranges and compact examplesE7C597B62D6D
    4. 18.42.30 Corrections from the smooth weightBDE9EA5F5F58
43. 18.43 A logarithmic kernel scale in two dimensions9C0BFE5CB0FF
44. 18.44 Anisotropic point jets and isolated poles on fibrations44BF9B7D0141
    1. 18.44.6 Corrected and homogeneous centers39F4BF549DB7
    2. 18.44.9 An isolated selecting potential on a submersion68C553A45799
45. 18.45 Newton selection and moment-shell limits5CEF27CB9AAA
    1. 18.45.2 The growth constraint and its envelope5E7D89CCF8C5
    2. 18.45.6 Norms, lattice growth and the lower bound53C9DB71324E
    3. 18.45.10 The limit measure and the ambient metric894EB16B432E
    4. 18.45.13 A rank-one selection with nonclosed sampling8461E7D0D299
46. 18.46 Rounding in multiplier-ideal kernel families73EEA7DBAB83
47. 18.47 Three monomial bands from a multiplier-ideal selection435C250083A1