The collected papers of Wei-Liang Chow / edited by S.S. Chern, V.V. Shokurov.

Format:

Book

Author/Creator:

Chow, Wei-Liang, 1911-1995.

Contributor:

Chern, Shiing-Shen, 1911-2004.

Shokurov, Vyacheslav V., 1950-

Series:

World Scientific series in 20th century mathematics ; v. 8.

World Scientific series in 20th century mathematics ; v. 8

Standardized Title:

Works. 2002

Language:

English

Subjects (All):

Algebra.

Geometry, Algebraic.

Chow, Wei-Liang, 1911-1995.

Chow, Wei-Liang.

Physical Description:

1 online resource (522 p.)

Place of Publication:

River Edge, NJ : World Scientific, c2002.

Language Note:

English

Summary:

This invaluable book contains the collected papers of Prof Wei-Liang Chow, an original and versatile mathematician of the 20th Century. Prof Chow's name has become a household word in mathematics because of the Chow ring, Chow coordinates, and Chow's theorem on analytic sets in projective spaces. The Chow ring has many advantages and is widely used in intersection theory of algebraic geometry. Chow coordinates have been a very versatile tool in many aspects of algebraic geometry. Chow's theorem - that a compact analytic variety in a projective space is algebraic - is justly famous; it shows th

Contents:

Preface; Biography; CONTENTS; On associated forms and algebraic systems of algebraic manifolds; 1 The associated form of a manifold M; 2 Algebraic systems of manifolds; Die geometrische Theorie der algebraischen Funktionen für beliebige vollkommene Körper; Algebraische Mannigfaltigkeiten. Dimension; Der Satz von Bezout; Lineare Scharen und rationale Abbildungen; Die Auflösung der Singularitäten; Punktgruppen. Äquivalenz. Vollscharen.; Der Riemann-Rochsche Satz; Der Beweis des Existenzsatzes; Einfacher topologischer Beweis des Fundamentalsatzes der Algebra

Über die Multiplizität der Schnittpunkte von HyperflächenÜber systeme von linearen partiellen Differentialgleichungen erster Ordnung; On Electric Networks; On the Algebraical Braid Group; On Compact Complex Analytic Varieties; 1. Introduction; 2. Analytic varieties; 3. Intersection of analytic varieties; 4. Proof of the main theorem; 5. Meromorphic transformations; On the Geometry of Algebraic Homogeneous Spaces; CHAPTER I. Introduction.; CHAPTER II Projective Characterization of the Basic Group. The Fundamental Theorems.; CHAPTER III Birational Characterization of the Basic Group

Über die Lösbarkeit gewisser algebraischer GleichungssystemeOn the Genus of Curves of an Algebraic System; On the Defining Field of a Divisor in an Algebraic Variety; Algebraic Systems of Positive Cycles in an Algebraic Variety; 1. Introduction; 2. Statement of the problem and result; 3. Two lemmas; 4. Proof of the theorem; On the Quotient Variety of an Abelian Variety; On Picard Varieties; 1. Introduction; 2. Analytic mapping of cycles; 3. Dual pairing of complex tori; 4. The Jacobian varieties; 5. The Picard varieties; 6. Representative system of divisors

On Analytic Surfaces with Two Independent Meromorphic FunctionsOn the Fundamental Group of an Algebraic Variety; The Jacobian Variety of An Algebraic Curve; 1. Preliminary remarks; 2. The problem; 3. Construction of the variety B; 4. The derived normal model BB; 5. Proof that the variety B is non-singular; 6. The canonical homomorphism; Remarks on my paper ""The Jacobian Variety of an Algebraic Curve""; On Abelian Varieties over Function Fields; Abelian Varieties over Function Fields; 1. Introduction; 2. Algebraic subgroups in an Abelian variety; 3. An existence theorem; 4. The K-image

5. The K-traceOn Equivalence Classes of Cycles in an Algebraic Variety; Algebraic Varieties with Rational Dissections; On the Projective Embedding of Homogeneous Varieties; On the Principle of Degeneration in Algebraic Geometry; On the Birational Equivalence of Curves under Specialization; The Criterion for Unit Multiplicity and a Generalization of Hensel's Lemma; On the Theorem of Bertini for Local Domains; Cohomology Theory of Varieties over Rings; 1. Introduction; 2. Models and Cohomology; 3. A Künneth Relation; 4. Principle of Upper Semicontinuity

On the Connectedness Theorem in Algebraic Geometry

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611929428

9781281929426

1281929425

9789812776921

9812776923