CURVATURE ESTIMATE AND THE RAMIFICATION OF THE HOLOMORPHIC MAPS OVER HYPERSURFACES ON RIEMANN SURFACES

被引：2

作者：

Quang, Si Duc ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2023年 / 151卷 / 01期

关键词：

Gauss curvature; value distribution; holomorphic map; modified defect relation; ramification; hypersurface; MAPPINGS;

D O I：

10.24033/bsmf.2864

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a Gauss curvature estimate on an open Riemann surface S whose metric is of the form ds(2) = parallel to G parallel to(2m) vertical bar omega vertical bar(2), where omega is a holomorphic 1-form, m is an element of Z(+) and G is a reduced representation of a holomorphic map g from S into a projective subvariety V of P-n(C) that is ramified over a family of hypersurfaces in N-subgeneral position with respect to V.

引用

页码：91 / 115

页数：25

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