The Resource Holomorphic vector bundles over compact complex surfaces, Vasile Brînzănescu

Holomorphic vector bundles over compact complex surfaces, Vasile Brînzănescu

Label
Holomorphic vector bundles over compact complex surfaces
Title
Holomorphic vector bundles over compact complex surfaces
Statement of responsibility
Vasile Brînzănescu
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1945-
http://library.link/vocab/creatorName
Brînzănescu, Vasile
Index
index present
LC call number
QA3
LC item number
.L28 no. 1624
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics
Series volume
1624
http://library.link/vocab/subjectName
  • Vector bundles
  • Surfaces, Algebraic
  • Complex manifolds
  • Fibrés vectoriels
  • Surfaces algébriques
  • Variétés complexes
  • Complex manifolds
  • Surfaces, Algebraic
  • Vector bundles
  • Compacte manifolds
  • Complexe ruimten
  • Fibrés vectoriels
  • Surfaces algébriques
  • Variétés complexes
Label
Holomorphic vector bundles over compact complex surfaces, Vasile Brînzănescu
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [157]-165) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Vector bundles over complex manifolds. 1.1. Vector bundles. 1.2. Chern classes. 1.3. GAGA Theorems. 1.4. Torsion-free and reflexive coherent sheaves. 1.5. Problems on vector bundles -- 2. Facts on compact complex surfaces. 2.1. Line bundles and divisors. 2.2. Algebraic dimension and Kodaira dimension. 2.3. Classification and examples of surfaces. 2.4. Intersection form and Neron-Severi group -- 3. Line bundles over surfaces. 3.1. Holomorphic structures in line bundles. 3.2. Picard group for tori. 3.3. Neron-Severi group for some elliptic surfaces. 3.4. Picard group for primary Kodaira surfaces -- 4. Existence of holomorphic vector bundles. 4.1. Serre construction. 4.2. Filtrable vector bundles. 4.3. Non-filtrable and irreducible vector bundles. 4.4. Simple filtrable vector bundles -- 5. Classification of vector bundles. 5.1. Deformations of vector bundles and applications. 5.2. Moduli spaces of simple vector bundles. 5.3. Stable vector bundles
Dimensions
24 cm.
Extent
viii, 170 pages
Isbn
9783540610182
Lccn
96012994
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)34471631
  • (OCoLC)ocm34471631
Label
Holomorphic vector bundles over compact complex surfaces, Vasile Brînzănescu
Publication
Bibliography note
Includes bibliographical references (p. [157]-165) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Vector bundles over complex manifolds. 1.1. Vector bundles. 1.2. Chern classes. 1.3. GAGA Theorems. 1.4. Torsion-free and reflexive coherent sheaves. 1.5. Problems on vector bundles -- 2. Facts on compact complex surfaces. 2.1. Line bundles and divisors. 2.2. Algebraic dimension and Kodaira dimension. 2.3. Classification and examples of surfaces. 2.4. Intersection form and Neron-Severi group -- 3. Line bundles over surfaces. 3.1. Holomorphic structures in line bundles. 3.2. Picard group for tori. 3.3. Neron-Severi group for some elliptic surfaces. 3.4. Picard group for primary Kodaira surfaces -- 4. Existence of holomorphic vector bundles. 4.1. Serre construction. 4.2. Filtrable vector bundles. 4.3. Non-filtrable and irreducible vector bundles. 4.4. Simple filtrable vector bundles -- 5. Classification of vector bundles. 5.1. Deformations of vector bundles and applications. 5.2. Moduli spaces of simple vector bundles. 5.3. Stable vector bundles
Dimensions
24 cm.
Extent
viii, 170 pages
Isbn
9783540610182
Lccn
96012994
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)34471631
  • (OCoLC)ocm34471631

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