Chapter 20

B-divisors and restriction93ECB0A22161

Divisorial data, compact modifications, intrinsic traces, and restriction.

Sections and subsections

1. 20.1 The theory of b-divisors1EAF89CE07E1
   1. 20.1.1 The notion of b-divisors2C74B684280C
   2. 20.1.4 Nef b-divisors6590FB79F2E7
   3. 20.1.13 The b-divisors of currentsB2ED24A0AA8A
   4. 20.1.38 Properties of the intersection product066B0B2E68CA
2. 20.2 The trace operator007D02149D2D
   1. 20.2.1 The definition of the trace operatorE3F1F75C84E9
   2. 20.2.20 Properties of the trace operator4A91513F4829
   3. 20.2.29 Relation to the classical restricted volumesA437169E35B2
   4. 20.2.38 Restricted volumes of line bundlesEDE927CBCEA7
   5. 20.2.44 Analytic Bertini theorems6B19CA7EC662
3. 20.3 Restriction and intrinsic trace dataE6AE4A881F9F
   1. 20.3.1 Restricted ideals and trace data65B836952506
   2. 20.3.5 Comparison with ordinary restriction95B8C7040FB9
   3. 20.3.7 Logarithmic divisors with a small-curvature residual14C5248C16DA
   4. 20.3.9 Realization on a compact curve0A6FA0C6A351
   5. 20.3.14 The Poisson equation in the atomic trace typeE07C398EC98F
   6. 20.3.16 Singularity distance on a curve7EDE08C90FE8
   7. 20.3.19 Total variation of the atomic dataFED68B5DF3EB
   8. 20.3.23 The trace envelope53884234AA76
   9. 20.3.26 Limits of restricted analytic envelopes9FDA3A326A26
   10. 20.3.29 Envelopes on modificationsDB975E954111
   11. 20.3.32 Exact realization on a Kähler submanifold4C8D52A64B1A
   12. 20.3.34 Positive mass and prescribed equationsA7CED8F92D7B
   13. 20.3.37 Exact traces over a curve3F27B145B165
   14. 20.3.41 Exact traces on Hopf manifolds06493A31E440
   15. 20.3.43 Divisors under a dominant mapA7CD7872B787
   16. 20.3.46 The full trace envelope286FEC8F6AC1
   17. 20.3.51 Mass and the ideal class8065AC6F9F0F
   18. 20.3.56 Decreasing analytic modelsF128B6972881
   19. 20.3.58 Product realizations and their measures291ACA57C265
   20. 20.3.63 Ordinary trace volumes on a nonclosed ruled surface070063ADB7C2
   21. 20.3.70 Ambient ideal orders and ordinary type4746F2B8424A
   22. 20.3.72 Pullback and strict representativesD36C5D62DF35
4. 20.4 Divisorial currents on compact modificationsD53B61AD71E9
   1. 20.4.1 Divisorial trace currents9A1D9C97FB7B
   2. 20.4.4 Compatibility between models70BE0BB07401
   3. 20.4.7 The trace envelope as a common majorantB7F265C09335
   4. 20.4.9 Bott–Chern classes and closed currents9F22F2EB9CD1
   5. 20.4.13 The b-divisor class of a closed positive currentF45AA1F2A651
   6. 20.4.16 Nef Cartier realizationsEB6B5025AAF9
   7. 20.4.19 Continuous representatives and pullbackD9E4FD0A9290
   8. 20.4.25 Exceptional divisors between trace modelsF423B2B60EE2