Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Monatsh Math

Search In Journal Title:

Abbravation: Monatshefte für Mathematik

Search In Journal Abbravation:

Publisher

Springer Vienna

Search In Publisher:

DOI

10.1007/s001340050832

Search In DOI:

ISSN

1436-5081

Search In ISSN:
Search In Title Of Papers:

Equivalence of plurisubharmonic singularities and

Authors: Dano Kim
Publish Date: 2015/03/07
Volume: 178, Issue: 1, Pages: 85-95
PDF Link

Abstract

We show by an example that the equivalence class of singularity of a plurisubharmonic function cannot be determined by the data of its Lelong numbers in a nontrivial sense Such an example is provided by Siutype singular hermitian metrics associated to a line bundle We also show that a Siutype metric has analytic singularities if and only if the section ring of the line bundle is finitely generatedThe author wishes to thank Sébastien Boucksom for his crucial suggestion of using an argument of 2 toward Theorem 35 and Mihai Păun for showing him the proof of Proposition 23 in 2009 He also thanks Mattias Jonsson for telling him Example 25 Nikolay Shcherbina for raising a question on using multiplier ideal sheaves to distinguish psh functions and the anonymous referee for careful reading and helpful comments

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. A central limit theorem for integer partitions
  2. Fully commutative elements in finite and affine Coxeter groups
  3. On semi-rational finite simple groups
  4. Integer-valued polynomials over matrices and divided differences
  5. On mean values of multiplicative functions on the symmetric group
  6. Simple exceptional groups of Lie type are determined by their character degrees
  7. Löwner chains with complex leading coefficient
  8. On a functional equation related to derivations in prime rings
  9. Ricci solitons and odd-dimensional spheres
  10. Regularity properties of distributions through sequences of functions
  11. An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic n -manifolds
  12. Operations with monotone operators and the monotonicity of the resulting operators
  13. Normal families of meromorphic functions and shared values
  14. Some New Results on the Chu Duality of Discrete Groups
  15. Cauchy integral and singular integral operator over closed Jordan curves
  16. The zero-free region of the derivative of Selberg zeta functions
  17. A note on Engel words of finite groups
  18. Palindromic Prefixes and Diophantine Approximation
  19. Effective uniqueness of Parry measure and exceptional sets in ergodic theory
  20. On matrix valued square integrable positive definite functions
Search Result: