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Tangencies between holomorphic maps and holomorphic laminations
Author(s):
A.
Eremenko;
A.
Gabrielov
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2489-2492.
MSC (2010):
Primary 32B99;
Secondary 37F99
Posted:
February 12, 2010
MathSciNet review:
2607878
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Abstract:
We prove that the set of leaves of a holomorphic lamination of codimension one that are tangent to a germ of a holomorphic map is discrete.
References:
-
- 1.
- A. Avila, M. Lyubich and W. de Melo, Regular or stochastic dynamics in real analytic families of unimodal maps, Invent. Math. 154 (2003), no. 3, 451-550. MR 2018784 (2006i:37083)
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- E. Bierstone and P.D. Milman, Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Invent. Math. 128 (1997), 207-302. MR 1440306 (98e:14010)
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- 4.
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Additional Information:
A.
Eremenko
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
eremenko@math.purdue.edu
A.
Gabrielov
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
agabriel@math.purdue.edu
DOI:
10.1090/S0002-9939-10-10328-1
PII:
S 0002-9939(10)10328-1
Received by editor(s):
October 25, 2008,
Received by editor(s) in revised form:
October 28, 2009
Posted:
February 12, 2010
Additional Notes:
The first author was supported by NSF grant DMS-0555279
The second author was supported by NSF grant DMS-0801050.
Communicated by:
Mario Bonk
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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