Which powers of holomorphic functions are integrable

By J. Kollár. 2008

53 citations recorded by the source corpus.

We show that every limit of log canonical thresholds of n-variable functions is also a log canonical threshold of an (n-1)-variable function.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0948bc59b2662a3d487bf5189b848d5819d1cd17

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Christopher D. Hacon
2. J. McKernan
3. K. A. Shramov
4. Ivan Cheltsov
5. Y. Odaka
6. C. Birkar
7. O. Fujino
8. Chenyang Xu

In Geometry and Topology

1. J. McKernan
2. Christopher D. Hacon
3. C. Birkar
4. K. A. Shramov
5. Ivan Cheltsov
6. Chi Li
7. Y. Odaka
8. F. Catanese

Citations in the corpus

• LOG CANONICAL THRESHOLDS OF SMOOTH FANO THREEFOLDS (2008, background): “[106]), • it follows from [104] that 41/42 is the maximal element of the set H3 ∩ [0, 1).”
• ACC for log canonical thresholds (2012, background): “Let D be the set of all log pairs (X,∆), where • X is a projective variety of dimension n, • the coefficients of ∆ belong to I , • the total log discrepancy of (X,∆) is greater than ε, • KX + ∆ is numerically trivial, and • −KX is ample.”