Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths.

The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, or...

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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1976
Year of Publication:2016
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Series:Annals of Mathematics Studies ; 85
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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths.
Princeton, NJ : Princeton University Press, [2016]
©1976
1 online resource (110 p.)
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computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 85
Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order.Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Holomorphic mappings.
MATHEMATICS / Calculus. bisacsh
Algebraic variety.
Analytic function.
Analytic set.
Armand Borel.
Big O notation.
Canonical bundle.
Cartesian coordinate system.
Characteristic function (probability theory).
Characterization (mathematics).
Chern class.
Compact Riemann surface.
Compact space.
Complex analysis.
Complex manifold.
Complex projective space.
Corollary.
Counting.
Curvature.
Degeneracy (mathematics).
Derivative.
Differential form.
Dimension.
Divisor.
Elementary proof.
Entire function.
Equation.
Exponential growth.
Gaussian curvature.
Hermann Weyl.
Hodge theory.
Holomorphic function.
Hyperplane.
Hypersurface.
Infinite product.
Integral geometry.
Invariant measure.
Inverse problem.
Jacobian matrix and determinant.
Kähler manifold.
Line bundle.
Linear equation.
Logarithmic derivative.
Manifold.
Meromorphic function.
Modular form.
Monograph.
Nevanlinna theory.
Nonlinear system.
Phillip Griffiths.
Picard theorem.
Polynomial.
Projective space.
Q.E.D.
Quantity.
Ricci curvature.
Riemann sphere.
Scientific notation.
Several complex variables.
Special case.
Stokes' theorem.
Subset.
Summation.
Theorem.
Theory.
Uniformization theorem.
Unit square.
Volume form.
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
print 9780691081724
https://doi.org/10.1515/9781400881482
https://www.degruyter.com/isbn/9781400881482
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language English
format eBook
author Griffiths, Phillip A.,
Griffiths, Phillip A.,
spellingShingle Griffiths, Phillip A.,
Griffiths, Phillip A.,
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 /
Annals of Mathematics Studies ;
Frontmatter --
TABLE OF CONTENTS --
INDEX OF NOTATIONS --
INTRODUCTION --
CHAPTER 1. ORDERS OF GROWTH --
CHAPTER 2. THE APPEARANCE OF CURVATURE --
CHAPTER 3. THE DEFECT RELATIONS --
BIBLIOGRAPHY --
Backmatter
author_facet Griffiths, Phillip A.,
Griffiths, Phillip A.,
author_variant p a g pa pag
p a g pa pag
author_role VerfasserIn
VerfasserIn
author_sort Griffiths, Phillip A.,
title Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 /
title_full Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths.
title_fullStr Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths.
title_full_unstemmed Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths.
title_auth Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 /
title_alt Frontmatter --
TABLE OF CONTENTS --
INDEX OF NOTATIONS --
INTRODUCTION --
CHAPTER 1. ORDERS OF GROWTH --
CHAPTER 2. THE APPEARANCE OF CURVATURE --
CHAPTER 3. THE DEFECT RELATIONS --
BIBLIOGRAPHY --
Backmatter
title_new Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 /
title_sort entire holomorphic mappings in one and several complex variables. (am-85), volume 85 /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (110 p.)
Issued also in print.
contents Frontmatter --
TABLE OF CONTENTS --
INDEX OF NOTATIONS --
INTRODUCTION --
CHAPTER 1. ORDERS OF GROWTH --
CHAPTER 2. THE APPEARANCE OF CURVATURE --
CHAPTER 3. THE DEFECT RELATIONS --
BIBLIOGRAPHY --
Backmatter
isbn 9781400881482
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callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA331
callnumber-sort QA 3331 G753 41976EB
url https://doi.org/10.1515/9781400881482
https://www.degruyter.com/isbn/9781400881482
https://www.degruyter.com/document/cover/isbn/9781400881482/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515/.9
dewey-sort 3515 19
dewey-raw 515/.9
dewey-search 515/.9
doi_str_mv 10.1515/9781400881482
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hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
is_hierarchy_title Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 /
container_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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