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The Connectedness Theorem for Birational Transformations
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Oscar Zariski
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Kapitel in diesem Buch
- Frontmatter i
- Foreword vi
- Contents vii
-
Part I. An appreciation of the work and influence of S. Lefschetz
- Professor Lefschetz’s Contributions to Algebraic Geometry: An Appreciation 3
- The Work and Influence of Professor S. Lefschetz in Algebraic Topology 24
- Bibliography of the Publications of S. Lefschetz to June 1955 44
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Part II. Papers in Algebraic Geometry
- On the Complex Structures of a Class of Simply-Connected Manifolds 53
- On Kähler Manifolds with Vanishing Canonical Class 78
- Quotient d'un Espace Analytique par un Groupe d'Automorphismes 90
- On a Generalization of Kähler Geometry 103
- On the Projective Embedding of Homogeneous Varieties 122
- Various Classes of Harmonic Forms 129
- On the Variation of Almost-Complex Structure 139
- Commutative Algebraic Group Varieties 151
- On the Symbol of Virtual Intersection of Algebraic Varieties 157
- Integral Closure of Modules and Complete Linear Systems 167
- On the Projective Embedding of Abelian Varieties 177
- The Connectedness Theorem for Birational Transformations 182
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Part III. Papers in Topology
- The Relations on Steenrod Powers of Cohomology Classes 191
- Imbedding of metric complexes, 239
- Covering spaces with singularities 243
- A relation between degree and linking numbers 258
- Die Coinzidenz-Cozyklen und eine Formel aus der Fasertheorie 263
- Isotopy of links 280
- Generators and relations in a complex 307
- The theory of carriers and S-theory 330
- The Jacobi identity for Whitehead products 361
- Some mapping theorems with applications to non-locally connected spaces 378
- Intercept-finite cell complexes 389
Kapitel in diesem Buch
- Frontmatter i
- Foreword vi
- Contents vii
-
Part I. An appreciation of the work and influence of S. Lefschetz
- Professor Lefschetz’s Contributions to Algebraic Geometry: An Appreciation 3
- The Work and Influence of Professor S. Lefschetz in Algebraic Topology 24
- Bibliography of the Publications of S. Lefschetz to June 1955 44
-
Part II. Papers in Algebraic Geometry
- On the Complex Structures of a Class of Simply-Connected Manifolds 53
- On Kähler Manifolds with Vanishing Canonical Class 78
- Quotient d'un Espace Analytique par un Groupe d'Automorphismes 90
- On a Generalization of Kähler Geometry 103
- On the Projective Embedding of Homogeneous Varieties 122
- Various Classes of Harmonic Forms 129
- On the Variation of Almost-Complex Structure 139
- Commutative Algebraic Group Varieties 151
- On the Symbol of Virtual Intersection of Algebraic Varieties 157
- Integral Closure of Modules and Complete Linear Systems 167
- On the Projective Embedding of Abelian Varieties 177
- The Connectedness Theorem for Birational Transformations 182
-
Part III. Papers in Topology
- The Relations on Steenrod Powers of Cohomology Classes 191
- Imbedding of metric complexes, 239
- Covering spaces with singularities 243
- A relation between degree and linking numbers 258
- Die Coinzidenz-Cozyklen und eine Formel aus der Fasertheorie 263
- Isotopy of links 280
- Generators and relations in a complex 307
- The theory of carriers and S-theory 330
- The Jacobi identity for Whitehead products 361
- Some mapping theorems with applications to non-locally connected spaces 378
- Intercept-finite cell complexes 389