This volume of the Encyclopaedia offers a systematic introduction and a comprehensive survey of the theory of complex spaces. It covers topics like semi-normal complex spaces, cohomology, the Levi problem, q-convexity and q-concavity. It is the first survey of this kind. The authors are internationally known outstanding experts who developed substantial parts of the field. The book contains seven chapters and an introduction written by Remmert, describing the history of the subject. The book will be very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry. Another group of readers will consist of mathematical physicists who apply results from these fields.
Several Complex Variables VII
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Text: English (translation)
Original Language: Russian --This text refers to an alternate Hardcover edition.
Original Language: Russian --This text refers to an alternate Hardcover edition.
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First Sentence:
A fundamental tenet of contemporary Complex Analysis is that geometric properties of complex spaces and algebraic properties of their structure sheaves are living in happy symbiosis. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Notes Math, Historical Note, Active Lemma, Reine Angew, Extension Principle, Anti-Equivalence Principle, Graph Lemma, Hautes Etud, Ruckert Nullstellensatz, Local Embedding Lemma, Pure Math, Don Manuel, Zur Theorie, Generalized Division Theorem, Gluing Lemma, Local Weierstrass Theory, Peternell Contents Introduction, Theorem of Cartan-Oka, Algebraischen Geometrie, Analytische Stellenalgebren, Aspects Math, Cohen Macaulay, Graduate Texts Math, Homological Algebra, Introduction Section New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A fundamental tenet of contemporary Complex Analysis is that geometric properties of complex spaces and algebraic properties of their structure sheaves are living in happy symbiosis. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Notes Math, Historical Note, Active Lemma, Reine Angew, Extension Principle, Anti-Equivalence Principle, Graph Lemma, Hautes Etud, Ruckert Nullstellensatz, Local Embedding Lemma, Pure Math, Don Manuel, Zur Theorie, Generalized Division Theorem, Gluing Lemma, Local Weierstrass Theory, Peternell Contents Introduction, Theorem of Cartan-Oka, Algebraischen Geometrie, Analytische Stellenalgebren, Aspects Math, Cohen Macaulay, Graduate Texts Math, Homological Algebra, Introduction Section New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 29
books:
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100
books
cite this book:
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- Principles of Algebraic Geometry by Phillip Griffiths on 4 pages
- Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, Vol 65) by Raymond O'Neil Wells on page 144, page 257, and page 317
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne on page 143, page 256, and page 316
- Coherent Analytic Sheaves (Grundlehren Der Mathematischen Wissenschaften) by Hans Grauert on page 94, page 181, and page 220
- Algebraic Methods in the Global Theory of Complex Spaces by Constantin Banica on page 143, page 181, and page 283
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- Function Theory of Several Complex Variables (AMS Chelsea Publishing) by Steven G. Krantz in Back Matter (1), and Back Matter (2)
- Extension of Holomorphic Functions (De Gruyter Expositions in Mathematics, 34) by Marek Jarnicki in Back Matter (1), and Back Matter (2)
- Hyperbolic Complex Space (Grundlehren der mathematischen Wissenschaften) by Shoshichi Kobayashi in Front Matter, and Back Matter
- Classical Topics in Complex Function Theory (Graduate Texts in Mathematics) by Reinhold Remmert in Front Matter, and page 123
- Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour (Encyclopaedia of Mathematical Sciences) (v. 9) by D.V. Anosov in Back Matter
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