Chapter 6

Lelong numbers, multiplier ideals, and regularization9B85831FAA0C

Singularity invariants, analytic approximation, and weighted holomorphic extension.

Sections and subsections

1. 6.1 Weighted L2 estimates and holomorphic extension89143AD4638F
2. 6.2 Hilbert spaces and closed operator complexes3F2EA9D1CB5E
3. 6.3 Pseudoconvexity and boundary distance86B639827902
4. 6.4 Interior density and the weighted estimate4E04198982E6
5. 6.5 Interpolation and extension across a hyperplane6FAB73FA6CE4
6. 6.6 Lelong numbers and multiplier ideals8494F0D4F79D
7. 6.7 Logarithmic growth and the Jensen formula4939444F8FDD
8. 6.8 Coherent ideals from weighted integrabilityC6A4B68C3F0B
9. 6.9 Analytic Lelong level sets and generic valuesDB8FD0974B86
10. 6.10 Restriction, products and integral closure3E60ECFFA1E9
11. 6.11 Strong openness by extension from moving slicesF441BF47EB53
12. 6.12 Birational change of variables and logarithmic thresholdsBC64CE221556
13. 6.13 Analytic singularities and Demailly approximation1A5FE90C1245
14. 6.14 Smooth backgrounds and analytic singularitiesA4223F8F8B02
15. 6.15 Local Bergman kernels and ideal generators9C2A6446C90A
16. 6.16 Overlap interpolation and quantitative patching0B2C9E3CF86E
17. 6.17 Smooth cutoff sums and decreasing approximationB4D51CAC5833
18. 6.18 Comparison of analytic singularities625C998FCF3C
19. 6.19 Bounded growth ideals3951ADFEE2AB