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＜電子ブック＞
Theta Functions / by Jun-ichi Igusa
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 194)

版	1st ed. 1972.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1972
本文言語	英語
大きさ	X, 234 p : online resource
著者標目	*Igusa, Jun-ichi author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	I. Theta Functions from an Analytic Viewpoint -- § 1. Preliminaries -- § 2. Plancherel Theorem for Rn -- § 3. The Group A(X) -- §4. The Irreducibility of U -- § 5. Induced Representations -- § 6. The Group Sp(X) -- §7. The Group B(X) -- § 8. Fock Representation -- §9. The Set G(X) -- § 10. The Discrete Subgroup ?L -- II. Theta Functions from a Geometric Viewpoint -- § 1. Hodge Decomposition Theorem for a Torus -- § 2. Theta Function of a Positive Divisor -- § 3. The Automorphy Factor u?(z) -- §4. The Vector Space L(Q, l, ?) -- § 5. A Change of the Canonical Base -- III Graded Rings of Theta Functions -- § 1. Graded Rings -- § 2. Algebraic and Integral Dependence -- § 3. Weierstrass Preparation Theorem -- § 4. Geometric Lemmas -- § 5. Automorphic Forms and Projective Embeddings -- § 6. Polarized Abelian Varieties -- § 7. Projective Embeddings -- §8. The Field of Abelian Functions -- IV. Equations Defining Abelian Varieties -- § 1. Theta Relations (Classical Forms) -- § 2. A New Formalism -- § 3. Theta Relations (Under the New Formalism) -- §4. The Ideal of Relations -- § 5. Quadratic Equations Defining Abelian Varieties -- V. Graded Rings of Theta Constants -- § 1. Theta Constants -- §2. Some Properties of ?(?)2 -- § 3. Holomorphic Mappings by Theta Constants -- § 4. The Classical Reduction Theory -- § 5. Modular Forms -- § 6. The Group of Characteristics -- § 7. Modular Varieties -- Sources -- Further References and Comments -- Index of Definitions HTTP:URL=https://doi.org/10.1007/978-3-642-65315-5

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