@article{RSMUP_1980__63__127_0, author = {Tung, Chia-Chi}, title = {Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {127--143}, publisher = {Seminario Matematico of the University of Padua}, volume = {63}, year = {1980}, zbl = {0492.32002}, mrnumber = {605788}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1980__63__127_0/} }
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 DA - 1980/// SP - 127 EP - 143 VL - 63 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1980__63__127_0/ UR - https://zbmath.org/?q=an%3A0492.32002 UR - https://www.ams.org/mathscinet-getitem?mr=605788 LA - en ID - RSMUP_1980__63__127_0 ER -
Tung, Chia-Chi. Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets. Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980), pp. 127-143. http://www.numdam.org/item/RSMUP_1980__63__127_0/
[1] W. STOLL, Analytic and algebraic dependence of meromorphic functions, Lectures Notes in Math., No. 234, Springer-Verlag, Berlin- Heidelberg-New York, 1971. | MR 390298 | Zbl 0222.32013
-[2] Conditions for the analyticity of certain sets, Michigan Math. J., 11 (1964), pp. 289-304. | MR 168801 | Zbl 0143.30302
,[3] Ein relativer Satz von Chow und die Elimination von Unbestimmtheitsstellen meromorpher Funktionen, Math. Ann., 217 (1975), pp. 145-152. | MR 397031 | Zbl 0313.32035
,[4] R. REMMERT, Bilder and Urbilder analytischer Garben, Ann. of Math. (2), 68 (1958), pp. 393-443. | MR 102612 | Zbl 0089.06003
-[5] Analytische Stellenalgebren, Grundl. Math. Wiss. Band, 176, Springer-Verlag, Berlin-Heidelberg -NeW York, 1971. | MR 316742 | Zbl 0231.32001
- ,[6] H. ROSSI, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N. J., 1965. | MR 180696 | Zbl 0141.08601
-[7] Introduction to the theory of analytic spaces, Lecture Notes in Math., No. 25, Springer-Verlag, Berlin-Heidelberg-New York, 1966. | MR 217337 | Zbl 0168.06003
,[8] Lehrbuch der Funktionentheorie - II, part 1, 2-nd ed., Teubner, Leipzig-Berlin, 1929. | JFM 55.0171.02
,[9] The global reducibility of pseudopolynomials (Russian), Mat. Fiz. i Funktional Anal. Vyp., 2, 238 (1971), pp. 117-121, 238, MR 56, 15966. | MR 457762
,[10] The multiplicity of a holomorphic map, Invent. Math., 2 (1966), pp. 15-38. | MR 210947 | Zbl 0158.08403
,[11] 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. | MR 563153 | Zbl 0496.32018
,[12] On the rationality of divisors and meromoprhic functions, Trans. Amer. Math. Soc., 239 (1978), pp. 399-406. | MR 463511 | Zbl 0352.32026
,[13] Complex analytic varieties, Addison-Wesley, Reading, Mass., 1972. | MR 387634 | Zbl 0265.32008
,