The first main theorem of value distribution in several variables. (English) Zbl 0175.37103
Keywords:
complex functionsReferences:
| [1] | Bochner, S., and D. Montgomery: Groups on analytic manifolds. Ann. of Math.48, 659-669 (1947). · Zbl 0030.07501 · doi:10.2307/1969133 |
| [2] | Borel, A., and R. Narasimhan: Uniqueness conditions for certain holomorphic mappings. Inventiones Math.2, 247-255 (1967). · Zbl 0145.31802 · doi:10.1007/BF01425403 |
| [3] | Bott, R., and S. S. Chern: Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Acta Math.114, 71-112 (1965). · Zbl 0148.31906 · doi:10.1007/BF02391818 |
| [4] | Draper, R.: Intersection theory in analytic geometry. Math. Ann.180, 175-204 (1969). · doi:10.1007/BF01350737 |
| [5] | H?rmander, L.: An introduction to complex analysis in several variables. Princeton: Van Nostrand 1966. |
| [6] | Lelong, P.: El?ments positifs d’une alg?bre ext?rieur complexe avec involution. S?minaire d’Analyse. Institut H. Poincar?, Paris, 4 e ann?e, Expos? n?1, 1962. |
| [7] | Levine, H.: A theorem on holomorphic mappings ?nto complex projective space. Ann. of Math.2, 529-535 (1960). · Zbl 0142.04801 · doi:10.2307/1969942 |
| [8] | Remmert, R.: Holomorphe und meromorphe Abbildungen komplexer R?ume. Math. Ann.133, 328-370 (1957). · Zbl 0079.10201 · doi:10.1007/BF01342886 |
| [9] | de Rham, G.: Vari?t?s diff?rentiables, Paris: Hermann 1960. · Zbl 0089.08105 |
| [10] | Sard, A.: The measure of the critical values of a differentiable map. Bull. Am. Math. Soc.48, 883-890 (1942). · Zbl 0063.06720 · doi:10.1090/S0002-9904-1942-07811-6 |
| [11] | Stoll, W.: Die beiden Haupts?tze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Ver?nderlichen (I). Acta Math.90, 1-113 (1954). · Zbl 0058.30705 · doi:10.1007/BF02392435 |
| [12] | ?: The growth of the area of a trancendental analytic set of dimension one. Math. Zeitschrift81, 76-98 (1963). · Zbl 0109.30802 · doi:10.1007/BF01111521 |
| [13] | ?: The growth of the area of a trancendental analytic set. Math. Ann.156, 47-78, 144-170 (1964). · Zbl 0126.09502 · doi:10.1007/BF01359980 |
| [14] | ?: The multiplicity of a holomorphic map. Inventiones Math.2, 15-58 (1966). · Zbl 0158.08403 · doi:10.1007/BF01403389 |
| [15] | ?: The continuity of the fiber integral. Math. Zeitschrift95, 87-138 (1967). · Zbl 0148.31904 · doi:10.1007/BF01111553 |
| [16] | ?: A general first main theorem of value distribution theory. Acta Math.118, 111-191 (1967). · Zbl 0148.31905 · doi:10.1007/BF02392479 |
| [17] | Weil, A.: Introduction ? l’?tude des vari?t?s K?hleriennes. Paris: Hermann 1958. |
| [18] | Weyl, H., and J. Weyl: Meromorphic functions and analytic curves. Annals of Mathematics Studies No. 12. Princeton University Press 1943. · Zbl 0061.15302 |
| [19] | Wu, H.: Remarks on the First Main Theorem in equidistribution theory I. J. Diff. Geom.2, 197-202 (1968). · Zbl 0164.38103 |
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