Rating: 5 out of 5 stars
5/5
Ebook251 pages3 hours
The Equidistribution Theory of Holomorphic Curves
By Hung-his Wu
Rating: 0 out of 5 stars
()
About this ebook
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.
Related to The Equidistribution Theory of Holomorphic Curves
Titles in the series (100)
Radon Transforms and the Rigidity of the Grassmannians Lectures on Resolution of Singularities Rating: 0 out of 5 stars0 ratingsWeyl Group Multiple Dirichlet Series: Type A Combinatorial Theory Rating: 0 out of 5 stars0 ratingsGreen's Function Estimates for Lattice Schrödinger Operators and Applications Rating: 0 out of 5 stars0 ratingsLectures on the Theory of Games Rating: 1 out of 5 stars1/5Hangzhou Lectures on Eigenfunctions of the Laplacian Rating: 0 out of 5 stars0 ratingsModular Forms and Special Cycles on Shimura Curves Rating: 0 out of 5 stars0 ratingsThe Geometry and Cohomology of Some Simple Shimura Varieties Rating: 0 out of 5 stars0 ratingsDynamics in One Complex Variable: Third Edition Rating: 0 out of 5 stars0 ratingsSmoothings of Piecewise Linear Manifolds Rating: 5 out of 5 stars5/5On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety Rating: 0 out of 5 stars0 ratingsTwisted L-Functions and Monodromy Rating: 0 out of 5 stars0 ratingsThe Neumann Problem for the Cauchy-Riemann Complex Rating: 4 out of 5 stars4/5The Decomposition of Global Conformal Invariants Rating: 0 out of 5 stars0 ratingsSemiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation Rating: 0 out of 5 stars0 ratingsIntegration of One-forms on P-adic Analytic Spaces Rating: 0 out of 5 stars0 ratingsThe Ergodic Theory of Lattice Subgroups Rating: 0 out of 5 stars0 ratingsIntroduction to Ramsey Spaces Rating: 0 out of 5 stars0 ratingsHypoelliptic Laplacian and Orbital Integrals Rating: 0 out of 5 stars0 ratingsInfinite Loop Spaces: Hermann Weyl Lectures, The Institute for Advanced Study Rating: 0 out of 5 stars0 ratingsDiscrete Orthogonal Polynomials: Asymptotics and Applications Rating: 0 out of 5 stars0 ratingsMathematical Aspects of Nonlinear Dispersive Equations Rating: 0 out of 5 stars0 ratingsCycles, Transfers, and Motivic Homology Theories Rating: 0 out of 5 stars0 ratingsOn the Cohomology of Certain Non-Compact Shimura Varieties Rating: 0 out of 5 stars0 ratingsK-Theory of Forms Rating: 0 out of 5 stars0 ratingsOuter Billiards on Kites Rating: 0 out of 5 stars0 ratingsThe Structure of Affine Buildings Rating: 0 out of 5 stars0 ratingsDegenerate Diffusion Operators Arising in Population Biology Rating: 0 out of 5 stars0 ratingsThe Gross-Zagier Formula on Shimura Curves Rating: 0 out of 5 stars0 ratings
Related ebooks
Theory of Approximation Rating: 0 out of 5 stars0 ratingsC*-Algebra Extensions and K-Homology Rating: 0 out of 5 stars0 ratingsEntire Holomorphic Mappings in One and Several Complex Variables Rating: 0 out of 5 stars0 ratingsComplex Integration and Cauchy's Theorem Rating: 0 out of 5 stars0 ratingsProspects in Mathematics Rating: 0 out of 5 stars0 ratingsDiscrete Series of GLn Over a Finite Field Rating: 0 out of 5 stars0 ratingsGreen's Function Estimates for Lattice Schrödinger Operators and Applications Rating: 0 out of 5 stars0 ratingsAn Introduction to Lebesgue Integration and Fourier Series Rating: 0 out of 5 stars0 ratingsThe Spectral Theory of Toeplitz Operators Rating: 0 out of 5 stars0 ratingsSeminar on Micro-Local Analysis Rating: 0 out of 5 stars0 ratingsOn the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety Rating: 0 out of 5 stars0 ratingsContributions to Fourier Analysis Rating: 0 out of 5 stars0 ratingsA Short Course in Automorphic Functions Rating: 0 out of 5 stars0 ratingsCohomology Operations: Lectures by N. E. Steenrod Rating: 0 out of 5 stars0 ratingsFourier Series Rating: 0 out of 5 stars0 ratingsElgenfunction Expansions Associated with Second Order Differential Equations Rating: 0 out of 5 stars0 ratingsCosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1 Rating: 0 out of 5 stars0 ratingsSpaces of PL Manifolds and Categories of Simple Maps Rating: 0 out of 5 stars0 ratingsGeneral Theory of Relativity Rating: 4 out of 5 stars4/5Lectures on Modular Forms Rating: 0 out of 5 stars0 ratingsLectures on the Arithmetic Riemann-Roch Theorem Rating: 0 out of 5 stars0 ratingsBeijing Lectures in Harmonic Analysis Rating: 0 out of 5 stars0 ratingsThe Method of Trigonometrical Sums in the Theory of Numbers Rating: 0 out of 5 stars0 ratingsMorse Theory Rating: 4 out of 5 stars4/5Calculus on Heisenberg Manifolds Rating: 0 out of 5 stars0 ratingsBasic Methods of Linear Functional Analysis Rating: 0 out of 5 stars0 ratingsSquare Summable Power Series Rating: 5 out of 5 stars5/5Lectures on P-Adic L-Functions Rating: 0 out of 5 stars0 ratingsAlgebraic Methods in Statistical Mechanics and Quantum Field Theory Rating: 0 out of 5 stars0 ratings
Mathematics For You
My Best Mathematical and Logic Puzzles Rating: 4 out of 5 stars4/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsQuantum Physics for Beginners Rating: 4 out of 5 stars4/5What If?: Serious Scientific Answers to Absurd Hypothetical Questions Rating: 5 out of 5 stars5/5Sneaky Math: A Graphic Primer with Projects Rating: 0 out of 5 stars0 ratingsBasic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Math Magic: How To Master Everyday Math Problems Rating: 3 out of 5 stars3/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Algebra II For Dummies Rating: 3 out of 5 stars3/5Pre-Calculus For Dummies Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5Alan Turing: The Enigma: The Book That Inspired the Film The Imitation Game - Updated Edition Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Logicomix: An epic search for truth Rating: 4 out of 5 stars4/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5How to Solve It: A New Aspect of Mathematical Method Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Statistics: a QuickStudy Laminated Reference Guide Rating: 0 out of 5 stars0 ratingsHow Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics Rating: 3 out of 5 stars3/5Flatland Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5
Related podcast episodes
Electrodynamics: Modellansatz 069 0% found this document usefulBanach-Tarski Paradox: Modellansatz 094 0% found this document usefulSingular Pertubation: Modellansatz 162 0% found this document usefulA Computational Perspective on Metamathematics: Colloquium Mathematical Philosophy 0% found this document usefulEpisode 47: Combinatory Logic! 0% found this document useful
Related articles
A Universe Made of Tiny, Random Chunks: The space-time that makes up our universe is inherently uncertain. NautilusUNLIMITED
A Universe Made of Tiny, Random Chunks: The space-time that makes up our universe is inherently uncertain.
Jun 6, 2013
One of science’s most crucial yet underappreciated achievements is the description of the physical universe using mathematics—in particular, using continuous, smooth mathematical functions, like how a sine wave describes both light and sound. This is
6 min readA Supermassive Lens On The Constants Of Nature NautilusUNLIMITED
A Supermassive Lens On The Constants Of Nature
Nov 25, 2020
The 2020 Nobel Prize in Physics went to three researchers who confirmed that Einstein’s general relativity predicts black holes, and established that the center of our own galaxy houses a supermassive black hole with the equivalent of 4 million suns
9 min readTwo Mathematicians Just Solved A Century-old Geometry Problem Popular Mechanics South AfricaUNLIMITED
Two Mathematicians Just Solved A Century-old Geometry Problem
Oct 15, 2021
2 min readThe Tricky Translation of Mathematical Ideas QuantaUNLIMITED
The Tricky Translation of Mathematical Ideas
Jun 28, 2017
2 min readMicrocontrollers In Amateur Radio CQ Amateur RadioUNLIMITED
Microcontrollers In Amateur Radio
Nov 1, 2022
7 min readThe Universe Began With a Big Melt, Not a Big Bang NautilusUNLIMITED
The Universe Began With a Big Melt, Not a Big Bang
Oct 5, 2017
There are two tantalizing mysteries about our universe, one dealing with its final fate and the other with its beginning, that have intrigued cosmologists for decades. The community has always believed these to be independent problems—but what if the
10 min readPhysicists Attack Math’s $1,000,000 Question QuantaUNLIMITED
Physicists Attack Math’s $1,000,000 Question
Apr 4, 2017
Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.
4 min readWhy Is M-Theory the Leading Candidate for Theory of Everything? QuantaUNLIMITED
Why Is M-Theory the Leading Candidate for Theory of Everything?
Dec 18, 2017
3 min readMicrocontrollers In Amateur Radio CQ Amateur RadioUNLIMITED
Microcontrollers In Amateur Radio
Aug 1, 2022
My way of teaching about program data has always been a little different than the way most approach the subject. As you may know, pointers in C are a special type of variable that allows you to access data in a very efficient manner. Indeed, many com
6 min readHow Our Reality May Be a Sum of All Possible Realities NautilusUNLIMITED
How Our Reality May Be a Sum of All Possible Realities
Mar 3, 2023
7 min readHow Math’s Most Famous Proof Nearly Broke: Andrew Wiles thought he had a solution to an age-old puzzle. Until it began to unravel. NautilusUNLIMITED
How Math’s Most Famous Proof Nearly Broke: Andrew Wiles thought he had a solution to an age-old puzzle. Until it began to unravel.
May 28, 2015
Andrew Wiles gave a series of lectures cryptically titled “Modular Forms, Elliptic Curves, and Galois Representations” at a mathematics conference in Cambridge, England, in June 0f 1993. His argument was long and technical. Finally, 20 minutes into t
8 min readHow Math’s Most Famous Proof Nearly Broke NautilusUNLIMITED
How Math’s Most Famous Proof Nearly Broke
Dec 20, 2018
Andrew Wiles gave a series of lectures cryptically titled “Modular Forms, Elliptic Curves, and Galois Representations” at a mathematics conference in Cambridge, England, in June 0f 1993. His argument was long and technical. Finally, 20 minutes into t
8 min readThe Puzzle Of Quantum Reality NPRUNLIMITED
The Puzzle Of Quantum Reality
Mar 20, 2018
5 min readMathematicians Crack the Cursed Curve QuantaUNLIMITED
Mathematicians Crack the Cursed Curve
Dec 7, 2017
3 min readDoes The Inertia Of A Body Depend Upon Its Energy-content? New PhilosopherUNLIMITED
Does The Inertia Of A Body Depend Upon Its Energy-content?
Apr 19, 2021
3 min readGraced With Knowledge, Mathematicians Seek to Understand QuantaUNLIMITED
Graced With Knowledge, Mathematicians Seek to Understand
Apr 8, 2020
5 min readHow (Relatively) Simple Symmetries Underlie Our Expanding Universe QuantaUNLIMITED
How (Relatively) Simple Symmetries Underlie Our Expanding Universe
Jul 15, 2019
5 min readScreens Of Fractals And Complex Numbers Linux FormatUNLIMITED
Screens Of Fractals And Complex Numbers
Jun 25, 2024
10 min readHow Gravity Is a Double Copy of Other Forces QuantaUNLIMITED
How Gravity Is a Double Copy of Other Forces
May 4, 2021
5 min readPi Is Everywhere – But Do We Really Need More Than 15 Decimal Places? Guardian WeeklyUNLIMITED
Pi Is Everywhere – But Do We Really Need More Than 15 Decimal Places?
Aug 27, 2021
2 min readMy Dipole Has Gain! CQ Amateur RadioUNLIMITED
My Dipole Has Gain!
Aug 1, 2021
8 min readNwaa’s Ron Sauro On Shape And Absorption StereophileUNLIMITED
Nwaa’s Ron Sauro On Shape And Absorption
Jul 5, 2022
Our conversation moved back and forth between absorption and diffusion. When, later, Ron attempted to separate the two, he produced a mini treatise on absorption. Lightly edited, that treatise follows. Absorption is the most common treatment used in
3 min readQuantum 101 APCUNLIMITED
Quantum 101
Dec 27, 2021
We have a man called Max Planck to blame for all this. His discovery of energy quanta – the idea that the heat or light coming off something is not a constant force, but a stream of little lumps – won him the Nobel Prize in 1918. This threw open the
1 min readWhat You’re Doing Right Now Is Proof of Quantum Theory NautilusUNLIMITED
What You’re Doing Right Now Is Proof of Quantum Theory
Nov 24, 2021
Nobody understands quantum mechanics,” Richard Feynman famously said. Long after Max Planck’s discovery in 1900 that energy comes in separate packets or quanta, quantum physics remains enigmatic. It is vastly different from how things work at bigger
8 min readAnalog Adventures CQ Amateur RadioUNLIMITED
Analog Adventures
Dec 1, 2020
7 min readCinema Science PI AND THE RAPTURE OF COMPLEX MATHEMATICS Screen EducationUNLIMITED
Cinema Science PI AND THE RAPTURE OF COMPLEX MATHEMATICS
Mar 24, 2019
12 min readQuantum 101 Maximum PCUNLIMITED
Quantum 101
Nov 9, 2021
We have a man called Max Planck to blame for all this. His discovery of energy quanta—the idea that the heat or light coming off something is not a constant force, but a stream of little lumps—won him the Nobel Prize in 1918. This threw open the whol
1 min readThe Strangeness of Black Holes NautilusUNLIMITED
The Strangeness of Black Holes
Apr 11, 2019
This essay is one of the five winners in the 2019 writing competition held by the Black Hole Initiative at Harvard University. “The Black Hole Initiative offers a unique environment for thinking about the topic of black holes more creatively and comp
6 min readHow Physics Is Like Three-Chord Rock: Like a set of common chords, the same math appears in diverse fields of physics. NautilusUNLIMITED
How Physics Is Like Three-Chord Rock: Like a set of common chords, the same math appears in diverse fields of physics.
Jun 12, 2014
A few years back, 12 million of us clicked over to watch the “Pachelbel Rant” on YouTube. You might remember it. Strumming repetitive chords on his guitar, comedian Rob Paravonian confessed that when he was a cellist, he couldn’t stand the Pachelbel
6 min readLearning Curve CQ Amateur RadioUNLIMITED
Learning Curve
Aug 1, 2022
6 min read
Reviews for The Equidistribution Theory of Holomorphic Curves
Rating: 0 out of 5 stars
0 ratings
0 ratings0 reviews
Book preview
The Equidistribution Theory of Holomorphic Curves - Hung-his Wu
Enjoying the preview?
Page 1 of 1