Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations
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Takayuki Koike
Abstract
Let C be a smooth elliptic curve embedded in a smooth complex surface X such that C is a leaf of a suitable holomorphic foliation of X.
We investigate the complex analytic properties of a neighborhood of C under some assumptions on the complex dynamical properties of the holonomy function.
As an application, we give an example of
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 25-2869
Funding statement: The author is supported by the Grant-in-Aid for Scientific Research (KAKENHI No. 25-2869)
Acknowledgements
The author would like to give heartful thanks to Professor Shigeharu Takayama and Professor Tetsuo Ueda whose comments and suggestions were of inestimable value. He is also indebted to Professor Benoît Claudon, who kindly gave me information about the paper [15]. He also thanks Professor Masanori Adachi, Dr. Ryosuke Nomura, and Professor Noboru Ogawa[1] for helpful comments and warm encouragements.
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Articles in the same Issue
- Frontmatter
- Censored symmetric Lévy-type processes
- 𝐾-theory and immersions of spatial polygon spaces
- 𝐻𝑝 spaces for generalized Schrödinger operators and applications
- Commutative cocycles and stable bundles over surfaces
- Normal elements in the mod-𝑝 Iwasawa algebra over SL𝑛(ℤ𝑝): A computational approach
- Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations
- Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces
- Exceptional sets for sums of almost equal prime cubes
- Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
- Beilinson–Flach elements, Stark units and 𝑝-adic iterated integrals
- On the bounded approximation property on subspaces of ℓp when 0 < p < 1 and related issues
- Refinement of the Chowla–Erdős method and linear independence of certain Lambert series
- Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces
- On commutator Krylov transitive and commutator weakly transitive Abelian p-groups
