Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets

Chia-Chi Tung

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 63, page 127-143
  • ISSN: 0041-8994

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Tung, Chia-Chi. "Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets." Rendiconti del Seminario Matematico della Università di Padova 63 (1980): 127-143. <http://eudml.org/doc/107761>.

@article{Tung1980,
author = {Tung, Chia-Chi},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {rationality of analytic subset; pseudopolynomials; defining equations; factorisation of holomorphic function},
language = {eng},
pages = {127-143},
publisher = {Seminario Matematico of the University of Padua},
title = {Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets},
url = {http://eudml.org/doc/107761},
volume = {63},
year = {1980},
}

TY - JOUR
AU - Tung, Chia-Chi
TI - Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 63
SP - 127
EP - 143
LA - eng
KW - rationality of analytic subset; pseudopolynomials; defining equations; factorisation of holomorphic function
UR - http://eudml.org/doc/107761
ER -

References

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  1. [1] A. Andreotti - W. STOLL, Analytic and algebraic dependence of meromorphic functions, Lectures Notes in Math., No. 234, Springer-Verlag, Berlin- Heidelberg-New York, 1971. Zbl0222.32013MR390298
  2. [2] E. Bishop, Conditions for the analyticity of certain sets, Michigan Math. J., 11 (1964), pp. 289-304. Zbl0143.30302MR168801
  3. [3] G. Fischer, Ein relativer Satz von Chow und die Elimination von Unbestimmtheitsstellen meromorpher Funktionen, Math. Ann., 217 (1975), pp. 145-152. Zbl0313.32035MR397031
  4. [4] H. Grauert - R. REMMERT, Bilder and Urbilder analytischer Garben, Ann. of Math. (2), 68 (1958), pp. 393-443. Zbl0089.06003MR102612
  5. [5] H. Grauert - R. Remmert, Analytische Stellenalgebren, Grundl. Math. Wiss. Band, 176, Springer-Verlag, Berlin-Heidelberg -NeW York, 1971. Zbl0231.32001MR316742
  6. [6] R.C. Gunning - H. ROSSI, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N. J., 1965. Zbl0141.08601MR180696
  7. [7] R. Narasimhan, Introduction to the theory of analytic spaces, Lecture Notes in Math., No. 25, Springer-Verlag, Berlin-Heidelberg-New York, 1966. Zbl0168.06003MR217337
  8. [8] W.F. Osgood, Lehrbuch der Funktionentheorie - II, part 1, 2-nd ed., Teubner, Leipzig-Berlin, 1929. Zbl55.0171.02JFM55.0171.02
  9. [9] L.I. Ronkin, The global reducibility of pseudopolynomials (Russian), Mat. Fiz. i Funktional Anal. Vyp., 2, 238 (1971), pp. 117-121, 238, MR 56, 15966. MR457762
  10. [10] W. Stoll, The multiplicity of a holomorphic map, Invent. Math., 2 (1966), pp. 15-38. Zbl0158.08403MR210947
  11. [11] C. Tung, The first main theorem of value distribution on complex spaces, Memorie dell'Accademia Nazionale dei Lincei, Serie VIII, Vol. XV, Sez. 1, Fasc. (1979), pp. 91-263. Zbl0496.32018MR563153
  12. [12] C. Tung, On the rationality of divisors and meromoprhic functions, Trans. Amer. Math. Soc., 239 (1978), pp. 399-406. Zbl0352.32026MR463511
  13. [13] H. Whitney, Complex analytic varieties, Addison-Wesley, Reading, Mass., 1972. Zbl0265.32008MR387634

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