Topics Surrounding the Anabelian Geometry of Hyperbolic Curves
Topics Surrounding the Anabelian Geometry of Hyperbolic Curves
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围绕双曲曲线阿贝尔几何的主题
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
S. Mochizuki
中科院分区：
文献类型：
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作者：
S. Mochizuki
导言. 119作为一种格罗滕迪克猜想的泰特猜想122 1.1.非CM椭圆曲线的泰特猜想122 1.2. 126.第126章我的世界双曲曲线作为其自身的Anabelian Albanese变种128 2.1. [Mzk 2] 128主要定理的推论2.2. 3. nite characteristic的部分概括。离散真实的安娜贝尔几何132 3.1.真实的复流形132 3.2. 3.3.不动点的反全纯对合双曲曲线及其模量139 3.4.阿贝尔簇及其模140 3.5. 141.第141章真实的安娜贝尔几何p-adic理论的补充147 4.1. 4.2.第一百四十七章群理论的某一陈类152 4.3. [Mzk 2] 157主要结果的推广
Introduction 119 1. The Tate Conjecture as a Sort of Grothendieck Conjecture 122 1.1. The Tate conjecture for non-CM elliptic curves 122 1.2. Some pro-p group theory 126 2. Hyperbolic Curves As Their Own Anabelian Albanese Varieties 128 2.1. A corollary of the Main Theorem of [Mzk2] 128 2.2. A partial generalization to nite characteristic 129 3. Discrete Real Anabelian Geometry 132 3.1. Real complex manifolds 132 3.2. Fixed points of antiholomorphic involutions 137 3.3. Hyperbolic curves and their moduli 139 3.4. Abelian varieties and their moduli 140 3.5. Pro nite real anabelian geometry 141 4. Complements to the p-adic Theory 147 4.1. Good Chern classes 147 4.2. The group-theoreticity of a certain Chern class 152 4.3. A generalization of the main result of [Mzk2] 157 References 163