Complex Analysis and Algebraic Geometry: On the Deformation Types of Regular Elliptic Surfaces
Complex Analysis and Algebraic Geometry: On the Deformation Types of Regular Elliptic Surfaces
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复分析与代数几何：正椭圆曲面的变形类型
DOI：
10.1017/cbo9780511569197.008
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
A. Kas
中科院分区：
文献类型：
--
作者：
A. Kas
定理设S，S ′是P ′上的椭圆曲面，不含重纤维，至少含一根奇异纤维，且纤维中不含例外曲线。则S和S是彼此的变形当且仅当S和S具有相同的几何亏格。
Theorem. Let S, and S₂ be elliptic surfaces over P'with no multiple fibres, with at least one singular fibre, and with no exceptional curve contained in a fibre. Then S, and S₂ are deformations of one another if and only if S, and S₂ have the same geometric genus.