Variation of the Green function of Riemann surfaces and Whitney's holomorphic stratification conjecture

Robert Hardt; Dennis Sullivan

Publications Mathématiques de l'IHÉS (1988)

  • Volume: 68, page 115-138
  • ISSN: 0073-8301

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Hardt, Robert, and Sullivan, Dennis. "Variation of the Green function of Riemann surfaces and Whitney's holomorphic stratification conjecture." Publications Mathématiques de l'IHÉS 68 (1988): 115-138. <http://eudml.org/doc/104034>.

@article{Hardt1988,
author = {Hardt, Robert, Sullivan, Dennis},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {finite partition into holomorphic submanifolds; interpolation; Riemann surface; Green function; Whitney's conjecture; stratification},
language = {eng},
pages = {115-138},
publisher = {Institut des Hautes Études Scientifiques},
title = {Variation of the Green function of Riemann surfaces and Whitney's holomorphic stratification conjecture},
url = {http://eudml.org/doc/104034},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Hardt, Robert
AU - Sullivan, Dennis
TI - Variation of the Green function of Riemann surfaces and Whitney's holomorphic stratification conjecture
JO - Publications Mathématiques de l'IHÉS
PY - 1988
PB - Institut des Hautes Études Scientifiques
VL - 68
SP - 115
EP - 138
LA - eng
KW - finite partition into holomorphic submanifolds; interpolation; Riemann surface; Green function; Whitney's conjecture; stratification
UR - http://eudml.org/doc/104034
ER -

References

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  1. [GR] R. GUNNING and H. ROSSI, Analytic functions of several complex variables, Prentice-Hall, 1965. Zbl0141.08601MR31 #4927
  2. [H1] R. HARDT, Topological properties of subanalytic sets, Trans. Am. Math. Soc., 211 (1975), 57-70. Zbl0303.32008
  3. [H2] R. HARDT, Semi-algebraic local triviality in semi-algebraic mappings, Amer. J. Math., 102 (1980), 291-302. Zbl0465.14012
  4. [H3] R. HARDT, Stratification via corank 1 projections, in Singularities, Proc. Symp. in Pure Math., 40 (1983), 559-566. Zbl0525.32011MR85e:32016
  5. [M] T. MOSTOWSKI, Lipschitz equisingularity, Dissertationes Math., CCXLIII (1985), 1-46. Zbl0578.32020MR87e:32008
  6. [P] A. PARUSIŃSKI, Lipschitz stratification of real analytic sets, Preprint, Gdańsk University, 1986. Zbl0666.32011
  7. [SS] L. SIEBENMANN and D. SULLIVAN, On complexes that are Lipschitz manifolds, in Geometric Topology, New York, Academic Press, 1979, 503-552. Zbl0478.57008MR80h:57027
  8. [S] D. SULLIVAN, Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and Hausdorff dimension two, in Geometry Symposium, Utrecht 1980, Lecture Notes in Math., 894, Berlin-New York, Springer, 1981, 127-144. Zbl0486.30035MR83h:53054
  9. [W] H. WHITNEY, Local properties of analytic varieties, in Differential and Combinatorial Topology, Princeton U. Press, 1965, 205-244. Zbl0129.39402MR32 #5924

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