Geometric Height Inequalities

Geometric Height Inequalities
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DOI:
10.4310/mrl.1996.v3.n5.a10
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发表时间:
1996
影响因子:
1
通讯作者:
Kefeng Liu
Kefeng Liu
中科院分区:
数学3区
文献类型:
--
作者:
Kefeng Liu

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0. The Results. Let f : X → B be a fibration of a compact smooth algebraic surface over a compact Riemann surface B, denote by g ≥ 2 the genus of a generic fiber of f and by q the genus of B. Let s be the number of singular fibers of f and ωX/B be the relative dualizing sheaf. Let C1, · · · , Cn be n mutually disjoint sections of f , and denote by D the divisor ∑n j=1Cj. Then the main result we are going to prove in this note is the following Theorem 0.1