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Introduction to the theory of algebraic curves English edition

Introduction to the theory of algebraic curves English edition

Yukitaka Miyagawa
0/5 ( ratings)
No matter how you are alone, no matter where you live in a marginal land, if you read one line per line firmly, you will surely have a moment to understand.

私の電子書籍「Introduction to the theory of algebraic curves」を英訳する事が目標です。但
し、翻訳を省略した部分も在りますが、逆に新しく追加した部分も在ります。
私の電子書籍「Introduction to the theory of algebraic curves」は手書きなのですが、もし、
それが読みづらいならば、代わりに本書を読むという手段も採れます。但し、本書は英文で、
図は1 枚も入れることは出来ませんでしたけれど。
3 Plane algebraic curves
3.1 projective plane
3.1.1 Example
3.1.2 Question
3.1.3 Question
3.1.4 Question
3.1.5 Question
3.1.6 Question
3.1.7 Question
3.1.8 Theorem
3.1.9 Remark
3.1.10 Question
3.1.11 Question
3.1.12 Question
3.2 Plane algebraic curves
3.2.1 Definition
3.2.2 Notation
3.2.3 Example
3.2.4 Example
3.3 Affine algebraic curves
3.3.1 Example
3.4 irreducible algebraic curve, reducible algebraic curve
3.4.1 Definition
3.4.2 Proposition
3.4.3 Question
3.4.4 Proposition
3.4.5 Proposition(C ⊆ C1 =⇒ F|F1.)
3.4.6 Definition
3.4.7 Theorem
3.4.8 Theorem
3.4.9 Remark
3.4.10 Theorem
3.4.11 Proposition
3.4.12 Proposition
3.4.13 Theorem
3.4.14 Theorem
3.4.15 Definition
3.4.16 Question
3.5 field of definition of an irreducible algebraic curve
3.5.1 Definition
3.5.2 Remark
3.5.3 Example
3.5.4 Definition
3.5.5 Theorem
3.5.6 Theorem(F|H)
3.5.7 Example(/k only when Q = P.)
3.5.8 Theorem([P ∈ C, /k] =⇒ Q ∈ C. etc.)
3.6 simple point and multiple point, tangent line
3.6.1 Definition
3.6.2 Question
3.6.3 Theorem
3.6.4 Example
3.6.5 Example
3.6.6 Definition
3.6.7 Example
3.6.8 Theorem
3.6.9 Theorem
3.6.10 Question
3.6.11 Theorem(F1 and F2 do not have a common irreducible factor =⇒ ♯ ≤ mn.)
3.7 Theorem of B´ezout
3.8 point of inflection, inflection tangent line, Hesse curve
3.8.1 Definition
3.8.2 Theorem
3.8.3 Theorem
3.9 Elliptic curves
3.9.1 Theorem
Language
English
Pages
50
Format
Kindle Edition
Release
November 17, 2017

Introduction to the theory of algebraic curves English edition

Yukitaka Miyagawa
0/5 ( ratings)
No matter how you are alone, no matter where you live in a marginal land, if you read one line per line firmly, you will surely have a moment to understand.

私の電子書籍「Introduction to the theory of algebraic curves」を英訳する事が目標です。但
し、翻訳を省略した部分も在りますが、逆に新しく追加した部分も在ります。
私の電子書籍「Introduction to the theory of algebraic curves」は手書きなのですが、もし、
それが読みづらいならば、代わりに本書を読むという手段も採れます。但し、本書は英文で、
図は1 枚も入れることは出来ませんでしたけれど。
3 Plane algebraic curves
3.1 projective plane
3.1.1 Example
3.1.2 Question
3.1.3 Question
3.1.4 Question
3.1.5 Question
3.1.6 Question
3.1.7 Question
3.1.8 Theorem
3.1.9 Remark
3.1.10 Question
3.1.11 Question
3.1.12 Question
3.2 Plane algebraic curves
3.2.1 Definition
3.2.2 Notation
3.2.3 Example
3.2.4 Example
3.3 Affine algebraic curves
3.3.1 Example
3.4 irreducible algebraic curve, reducible algebraic curve
3.4.1 Definition
3.4.2 Proposition
3.4.3 Question
3.4.4 Proposition
3.4.5 Proposition(C ⊆ C1 =⇒ F|F1.)
3.4.6 Definition
3.4.7 Theorem
3.4.8 Theorem
3.4.9 Remark
3.4.10 Theorem
3.4.11 Proposition
3.4.12 Proposition
3.4.13 Theorem
3.4.14 Theorem
3.4.15 Definition
3.4.16 Question
3.5 field of definition of an irreducible algebraic curve
3.5.1 Definition
3.5.2 Remark
3.5.3 Example
3.5.4 Definition
3.5.5 Theorem
3.5.6 Theorem(F|H)
3.5.7 Example(/k only when Q = P.)
3.5.8 Theorem([P ∈ C, /k] =⇒ Q ∈ C. etc.)
3.6 simple point and multiple point, tangent line
3.6.1 Definition
3.6.2 Question
3.6.3 Theorem
3.6.4 Example
3.6.5 Example
3.6.6 Definition
3.6.7 Example
3.6.8 Theorem
3.6.9 Theorem
3.6.10 Question
3.6.11 Theorem(F1 and F2 do not have a common irreducible factor =⇒ ♯ ≤ mn.)
3.7 Theorem of B´ezout
3.8 point of inflection, inflection tangent line, Hesse curve
3.8.1 Definition
3.8.2 Theorem
3.8.3 Theorem
3.9 Elliptic curves
3.9.1 Theorem
Language
English
Pages
50
Format
Kindle Edition
Release
November 17, 2017

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