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by Yuji Shimizu and Kenji Ueno

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  • ISBN: 0821821563
  • Category: Math & Science
  • Author: Yuji Shimizu and Kenji Ueno
  • Subcategory: Mathematics
  • Other formats: mobi lit docx lrf
  • Language: English
  • Publisher: American Mathematical Society (November 14, 2001)
  • Pages: 300 pages
  • FB2 size: 1993 kb
  • EPUB size: 1480 kb
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Other books by Kenji Ueno published in this AMS series, Translations of Mathematical Monographs, include An Introduction to Algebraic Geometry, Volume 166, Algebraic Geometry 1: From Algebraic Varieties to Schemes, Volume 185, and Algebraic Geometry 2: Sheaves an. .

Other books by Kenji Ueno published in this AMS series, Translations of Mathematical Monographs, include An Introduction to Algebraic Geometry, Volume 166, Algebraic Geometry 1: From Algebraic Varieties to Schemes, Volume 185, and Algebraic Geometry 2: Sheaves and Cohomology, Volume 197.

Volume 35 Issue 3. ADVANCES IN MODULI THEORY (Tran. Bulletin of the London Mathematical Society. Supplementary materials.

Advances in Moduli Theory. has been added to your Cart. Series: Translations of Mathematical Monographs (Book 206). Paperback: 300 pages. Publisher: American Mathematical Society (November 14, 2001).

Translations of Mathematical Monographs. ISSN 0065-9282) Hardcover; reprints in softcover. Now included as a subseries to this series are original works translated from publisher Iwanami Shoten (Tokyo). Volumes in the Iwanami Series in Modern Mathematics are in softcover

Kenji Ueno, Yoshinori Shimizu (Translator). Advances in Moduli Theory (Translations of Mathematical Monographs).

Kenji Ueno, Yoshinori Shimizu (Translator). The word moduli in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann surface of an algebraic function field as a branched covering of a one-dimensional complex projective space, and found out that Riemann surfaces have parameters. 0821821563 (ISBN13: 9780821821565).

Translations of. MATHEMATICAL MONOGRAPHS. Advances in Moduli Theory. Yuji Shimizu Kenji Ueno Translated by Yuji Shimizu Kenji Ueno. Summary and Overview of the Theory. I "T Volume 206. y. fe American Mathematical Society ? Providence, Rhode Island. Preface to the English Translation. Chapter 1. Kodaira-Spencer Mapping . Deformation of complex structures . Infinitesimal deformation of a principal bundle Summary. Chapter 2. Torelli's Theorem . Complex torus and abelian variety . Jacobian varieties . Period mappings Summary. Chapter 3. Period Mappings and Hodge Theory .

The proposed theorem specifies the result of A. V. Skorokhod [Translations of Mathematical Monographs, 7. ADVANCES IN MODULI THEORY (Translations of Mathematical Monographs 206). Skorokhod concerning the stability with probability one of the solution of linear stochastic system built on a continuous homogeneous semimartingale with independent increments. ADVANCES IN MODULI THEORY (Translations of Mathematical Monographs 206) May 2003 · Bulletin of the London Mathematical Society.

Поиск книг BookFi BookSee - Download books for free. Yuji Shimizu and Kenji Ueno. Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs Vol. 218). Категория: Mathematics, Algebra, Algebraic geometry. 1 Mb. Algebraic geometry 2. Sheaves and cohomology.

Kenji Ueno, Katsumi Nomizu - An Introduction to Algebraic Geometry (Translations of Mathematical Monographs). Yuji Shimizu and Kenji Ueno - Advances in Moduli Theory. Kenji Ueno, Katsumi Nomizu.

The word ``moduli'' in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann surface of an algebraic function field as a branched covering of a one-dimensional complex projective space, and found out that Riemann surfaces have parameters. This work gave birth to the theory of moduli. However, the viewpoint regarding a Riemann surface as an algebraic curve became the mainstream, and the moduli meant the parameters for the figures (graphs) defined by equations. In 1913, H. Weyl defined a Riemann surface as a complex manifold of dimension one. Moreover, Teichmuller's theory of quasiconformal mappings and Teichmuller spaces made a start for new development of the theory of moduli, making possible a complex analytic approach toward the theory of moduli of Riemann surfaces. This theory was then investigated and made complete by Ahlfors, Bers, Rauch, and others. However, the theory of Teichmuller spaces utilized the special nature of complex dimension one, and it was difficult to generalize it to an arbitrary dimension in a direct way. It was Kodaira-Spencer's deformation theory of complex manifolds that allowed one to study arbitrary dimensional complex manifolds. Initial motivation in Kodaira-Spencer's discussion was the need to clarify what one should mean by number of moduli. Their results, together with further work by Kuranishi, provided this notion with intrinsic meaning. This book begins by presenting the Kodaira-Spencer theory in its original naive form in Chapter 1 and introduces readers to moduli theory from the viewpoint of complex analytic geometry. Chapter 2 briefly outlines the theory of period mapping and Jacobian variety for compact Riemann surfaces, with the Torelli theorem as a goal. The theory of period mappings for compact Riemann surfaces can be generalized to the theory of period mappings in terms of Hodge structures for compact Kahler manifolds. In Chapter 3, the authors state the theory of Hodge structures, focusing briefly on period mappings. Chapter 4 explains conformal field theory as an application of moduli theory. This is the English translation of a book originally published in Japanese. Other books by Kenji Ueno published in this AMS series, Translations of Mathematical Monographs, include An Introduction to Algebraic Geometry, Volume 166, Algebraic Geometry 1: From Algebraic Varieties to Schemes, Volume 185, and Algebraic Geometry 2: Sheaves and Cohomology, Volume 197.

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