A Defect Relation for Equidimensional Holomorphic Mappings Between Algebraic Varieties

A Defect Relation for Equidimensional Holomorphic Mappings Between Algebraic Varieties
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DOI:
10.2307/1970871
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发表时间:
1972-05
影响因子:
4.9
通讯作者:
J. Carlson;P. Griffiths
J. Carlson;P. Griffiths
中科院分区:
数学1区
文献类型:
--
作者:
J. Carlson;P. Griffiths

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0。引言1.符号、术语和符号约定(A)线丛和Chern类(B)C0中的电流和形式2.体积形式的构造3.非退化映射的第二个主要定理4.亏损关系(初形)5.第一个主要定理和亏损关系6.变形和应用(A)肖特基-朗道定理(B)关于Ci(L)+Ci(Kv)?0(C)具有增长条件的全纯映射的注记
0. Introduction 1. Notations, terminology, and sign conventions (a) Line bundles and Chern classes (b) Currents and forms in C0 2. Construction of a volume form 3. A second main theorem for non-degenerate maps 4. The defect relation (preliminary form) 5. The first main theorem and defect relation 6. Variants and applications (a) Schottky-Landau theorems (b) Remarks on the case ci(L) + ci(Kv) ? 0 (c) Holomorphic mappings with growth conditions Bibliography