The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /

The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu.

This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory o...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Wu, Hung-his,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1970
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 64
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Physical Description:1 online resource (250 p.)
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(OCoLC)979780957
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spelling Wu, Hung-his, author. aut http://id.loc.gov/vocabulary/relators/aut
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / Hung-his Wu.
Princeton, NJ : Princeton University Press, [2016]
©1970
1 online resource (250 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 64
Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the main theorems of the subject are proved for such surfaces. The author discusses several directions for further research.
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)
Analytic functions.
Functions, Meromorphic.
Value distribution theory.
MATHEMATICS / Probability & Statistics / General. bisacsh
Addition.
Algebraic curve.
Algebraic number.
Atlas (topology).
Binomial coefficient.
Cauchy-Riemann equations.
Compact Riemann surface.
Compact space.
Complex manifold.
Complex projective space.
Computation.
Continuous function (set theory).
Covariant derivative.
Critical value.
Curvature form.
Diagram (category theory).
Differential form.
Differential geometry of surfaces.
Differential geometry.
Dimension.
Divisor.
Essential singularity.
Euler characteristic.
Existential quantification.
Fiber bundle.
Gaussian curvature.
Geodesic curvature.
Geometry.
Grassmannian.
Harmonic function.
Hermann Weyl.
Hermitian manifold.
Holomorphic function.
Homology (mathematics).
Hyperbolic manifold.
Hyperplane.
Hypersurface.
Improper integral.
Intersection number (graph theory).
Isometry.
Line integral.
Manifold.
Meromorphic function.
Minimal surface.
Nevanlinna theory.
One-form.
Open problem.
Open set.
Orthogonal complement.
Parameter.
Picard theorem.
Product metric.
Q.E.D.
Remainder.
Riemann sphere.
Riemann surface.
Smoothness.
Special case.
Submanifold.
Subset.
Tangent space.
Tangent.
Theorem.
Three-dimensional space (mathematics).
Unit circle.
Unit vector.
Vector field.
Volume element.
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 9780691080734
https://doi.org/10.1515/9781400881901
https://www.degruyter.com/isbn/9781400881901
Cover https://www.degruyter.com/document/cover/isbn/9781400881901/original
language English
format eBook
author Wu, Hung-his,
Wu, Hung-his,
spellingShingle Wu, Hung-his,
Wu, Hung-his,
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /
Annals of Mathematics Studies ;
Frontmatter --
PREFACE --
INTRODUCTION --
CONTENTS --
Chapter I. Generalities on projective spaces and Grassmannians --
Chapter II. Nevanlinna theory of meromorphic functions --
Chapter III. Elementary properties of holomorphic curves --
Chapter IV. The two main theorems for holomorphic curves --
Chapter V. The defect relations --
References --
Index of principal definitions
author_facet Wu, Hung-his,
Wu, Hung-his,
author_variant h h w hhw
h h w hhw
author_role VerfasserIn
VerfasserIn
author_sort Wu, Hung-his,
title The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /
title_full The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / Hung-his Wu.
title_fullStr The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / Hung-his Wu.
title_full_unstemmed The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / Hung-his Wu.
title_auth The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /
title_alt Frontmatter --
PREFACE --
INTRODUCTION --
CONTENTS --
Chapter I. Generalities on projective spaces and Grassmannians --
Chapter II. Nevanlinna theory of meromorphic functions --
Chapter III. Elementary properties of holomorphic curves --
Chapter IV. The two main theorems for holomorphic curves --
Chapter V. The defect relations --
References --
Index of principal definitions
title_new The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /
title_sort the equidistribution theory of holomorphic curves. (am-64), volume 64 /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (250 p.)
Issued also in print.
contents Frontmatter --
PREFACE --
INTRODUCTION --
CONTENTS --
Chapter I. Generalities on projective spaces and Grassmannians --
Chapter II. Nevanlinna theory of meromorphic functions --
Chapter III. Elementary properties of holomorphic curves --
Chapter IV. The two main theorems for holomorphic curves --
Chapter V. The defect relations --
References --
Index of principal definitions
isbn 9781400881901
9783110494914
9783110442496
9780691080734
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA331
callnumber-sort QA 3331
url https://doi.org/10.1515/9781400881901
https://www.degruyter.com/isbn/9781400881901
https://www.degruyter.com/document/cover/isbn/9781400881901/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 517 - [Unassigned]
dewey-full 517.5
dewey-sort 3517.5
dewey-raw 517.5
dewey-search 517.5
doi_str_mv 10.1515/9781400881901
oclc_num 979780957
work_keys_str_mv AT wuhunghis theequidistributiontheoryofholomorphiccurvesam64volume64
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carrierType_str_mv cr
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 The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /
container_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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