Keywords
- Complex Manifold
- Holomorphic Section
- Complex Vector Space
- Holomorphic Line Bundle
- Nevanlinna Theory
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
L. Ahlfors. The theory of meromorphic curves. Acta Soc. Sci. Fenn, Nova Ser. A 3 (4) (1941) 171–173.
A. Andreotti and W. Stoll. Analytic and algebraic dependence of meromorphic functions. Lecture Notes in Mathematics 234 (1971) 390 pp. Springer-Verlag.
D. Barlet. Espace analytique reduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie. Lecture Notes in Mathematics 482 Fonctions des Plusieurs variables complexes II (1975) 1–158. Springer-Verlag.
H. Cartan. Sur les systèmes de fonctions holomorphes à varieties linéaires et leurs applications. Ann Sci. École Norm. Sup. (3) 45 (1928) 255–346.
H. Cartan. Sur les zéros des combinaisons linéaires de p fonctions holomorphes données. Mathematica(Cluj) 7 (1933) 5–31.
W. H. Greub: Multilinear Algebra. Die Grundl. d. Math. Wiss. 136 (1967) pp. 224. Springer-Verlag.
W.K. Hayman: Meromorphic functions. Oxford Math. Monographs. (1964) pp. 191 Calderon Press, Oxford.
R. Nevanlinna: Le Théorème de Picard-Borel et la Théorie des Fonctions Meromorphes. Gauthiers-Villars, Paris (1929) reprint Chelsea Publ. Co. New York (1974) pp. 171.
R. Nevanlinna: Eindeutige analytische Funktionen. 2nd ed. Die Grundl. d. Math. Wiss. 46 (1953) pp. 379. Springer-Verlag.
K. Niino and M. Ozawa: Deficiencies of an entire algebroid function. Kōdai Math. Sem. Report 22 (1970) 98–113.
J. Noguchi. On the deficiencies and the existence of Picard's exceptional values of entire algebroid functions. Kōdai. Math. Sem. Report 26 (1974) 29–35.
J. Noguchi: Meromorphic Mappings of a Covering Space over ℂm into a Projective Variety and Defect Relations. Hiroshima Math. J. 6 (1976) 265–280.
J. Noguchi: On value distribution of meromorphic mappings of covering spaces over ℂm into algebroid varieties. Preprint pp. 35.
V.P. Petrenko: Growth and distribution of values of algebroid functions. Mat. Zametki 26 (1979) 513–522, 653. Engl. Math. Notes 26 (1979) 3–4, 746–751 (1980).
R. Remmert: Holomorphe und meromorphe Abbildungen komplexer Räume. Math. Annalen 133 (1957) 328–370.
R. Remmert and K. Stein: Über die wesentlichen Singularitäten analytischer Mengen. Math. Annalen 126 (1953), 263–306.
H.L. Selberg: Algebroide Funktionen und Umkehrfunktionen Abelscher Integrale Avh. Norske Vid. Acad. Oslo 8 (1934) 1–72.
B.V. Shabat: Distribution of Values of Holomorphic Mappings. Transl. of Math. Monog. 61 (1985) pp. 225.
N. Steinmetz: Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes. Preprint 1986 pp. 11.
W. Stoll: Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlichen. I Acta Math. 90 (1953) 1–115 II Acta Math. 92 (1954) 55–169.
W. Stoll: The multiplicity of a holomorphic map. Invent. Math. 2 (1966) 15–58.
W. Stoll: Value distribution of holomorphic maps into compact complex manifolds. Lecture Notes in Mathematics 135 (1970) pp. 267. Springer-Verlag.
W. Stoll: Deficit and Bezout estimates. Value Distribution Theory. Part B. (ed. by R.O. Kujala and A.L. Vitter III). Pure and Appl. Math. 25 Marcell Dekker, New York, (1973) pp. 271.
W. Stoll: Value distribution on parabolic spaces. Lecture Notes in Mathematics 600 (1977), pp. 216. Springer-Verlag.
W. Stoll: The characterization of strictly parabolic manifolds. Annali di Pisa 7 (1980) 87–154.
W. Stoll: The characterization of strictly parabolic spaces. Compositio Mathematics 44 (1981) 305–373.
W. Stoll: Introduction to value distribution theory of meromorphic maps. Lecture Notes in Mathematics 950 (1982) 210–359. Springer-Verlag.
W. Stoll: Value distribution and the lemma of the logarithmic derivative on poly-discs. Internat. J. Math. Sci. 6 (1983) No. 4, 617–669.
W. Stoll: The Ahlfors-Weyl theory of meromorphic maps on parabolic manifolds. Lecture Notes in Mathematics 981 (1983) 101–219. Springer-Verlag.
W. Stoll: Value distribution theory of meromorphic maps. Aspects of Mathematics E7 1985 pp. 347. Vieweg-Verlag. valeurs
N. Toda: Sur la croissance de fonctions algebroides a valeurs deficientes. Kōdai Math. Sem. Rep. 22 (1970) 324–337.
N. Toda: Sur lex combinaisons exceptionnelles de fonctions holomorphes, applications aux fonctions algebroides. Tohoku Math. Journ. 22 (1970) 290–319.
N. Toda: Sur le nombre de combinaissons exceptionnelles: applications aux fonctions algebroides. Tôhoku Math. Journ. 22 (1970) 480–491.
Ch.Ch. Tung: The first main theorem of value distribution theory on complex spaces. Atti della Acc. Naz. d. Lincei Serie VIII 15 (1979), 93–262.
G. Valiron: Sur la derive de fonctions algebroides. Bull Soc. Math. France 59 (1931) 17–29.
H. Weyl and J. Weyl. Meromorphic functions and analytic curves. Annals of Math. Studies 12 Princeton Univ. Pr. (1943) pp. 269.
H. Wu: The equidistribution theory of holomorphic curves. Annals of Mathematics Studies 64 Princeton Univ. Pr (1970) pp. 219.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Maurice Heins
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Stoll, W. (1987). Algebroid reduction of Nevanlinna theory. In: Berenstein, C.A. (eds) Complex Analysis III. Lecture Notes in Mathematics, vol 1277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078248
Download citation
DOI: https://doi.org/10.1007/BFb0078248
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18355-6
Online ISBN: 978-3-540-47893-5
eBook Packages: Springer Book Archive
