Last edited by Tusho
Saturday, July 11, 2020 | History

6 edition of The equidistribution theory of holomorphic curves. found in the catalog.

The equidistribution theory of holomorphic curves.

by Hung-hsi Wu

  • 112 Want to read
  • 21 Currently reading

Published by Princeton University Press in Princeton, N.J .
Written in English

    Subjects:
  • Value distribution theory.,
  • Analytic functions.,
  • Functions, Meromorphic.

  • Edition Notes

    Bibliography: p. 217.

    SeriesAnnals of mathematics studies,, no. 64
    Classifications
    LC ClassificationsQA331 .W8
    The Physical Object
    Paginationxxiv, 219 p.
    Number of Pages219
    ID Numbers
    Open LibraryOL4755076M
    ISBN 100691080739
    LC Control Number78100997

      Šubin, M. A., Factorization of parameter-dependent matrix functions in normal rings and certain related questions in the theory of Noetherian operators. Mat. Sb. Cited by:   This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood.

    The Equidistribution Theory of Holomorphic Curves. In: Ann of Math Studies Vol Princeton: Princeton Univ Press, Yang L. Value Distribution Theory and Its New Researches (in Chinese). On Nevanlinna theory for holomorphic curves in Abelian varieties Yamanoi, Katsutoshi,, The operator dbar in holomorphic K-theory Roland, Dana Powell, Homology, Homotopy and Applications, Holomorphic Functions and Vector Bundles on Coverings of Projective Varieties Bogomolov, Fedor and De Oliveira, Bruno, Asian Journal of Mathematics Cited by:

    The Equidistribution Theory of Holomorphic Curves (Analysis) Wu, Hung-His: The Fourier Integral and Certain of Its Applications (Analysis) Wiener, Norbert: The Malliavin Calculus (Analysis) Bell, Denis R. The Problem of Moments (Analysis) Shohat, J. A.; Tamarkin, J. D.   The five appendices of the book provide necessary background related to the classical theory of linear elliptic operators, Fredholm theory, Sobolev spaces, as well as a discussion of the moduli space of genus zero stable curves and a proof of the positivity of intersections of \(J\)-holomorphic curves in four-dimensional manifolds.


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The equidistribution theory of holomorphic curves by Hung-hsi Wu Download PDF EPUB FB2

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.

Available in: work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent Due to COVID, Price: $ Book Info The Equidistribution Theory of Holomorphic Curves.

(AM) Book Description: 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 equidistribution theory of holomorphic curves was first attempted by H.

and J. Weyl inand was brought to essential completion by Ahlfors in Elementary properties of holomorphic curves, pg.

62*Chapter IV. The two main theorems for holomorphic curves, pg. 81*Chapter V. The defect relations, pg. *References, pg. *Index of principal definitions, pg. Find in a Library Find The Equidistribution Theory of Holomorphic Curves.(AM), Volume 64 near you.

The Equidistribution Theory of Holomorphic Curves. (AM). [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.

Holomorphic random sections provide a model for quantum chaos and the distribution of their zeros was intensively studied by physicists e.g. [7, 10, 21, 32, 40]. The proof of the equidistribution in [16, 38] involves the asymptotic expansion of the.

Shiffman B. () Introduction to the carlson — Griffiths equidistribution theory. In: Laine I., Rickman S. (eds) Value Distribution Theory. Lecture Notes in Mathematics, vol Cited by: Analogues of this weaker conjecture are proved in the split function field case of characteristic zero, and in the case of holomorphic curves (Nevanlinna theory).Author: Bernard Shiffman.

[8] H. Wu, The equidistribution theory of holomorphic curves, Ann. of Math. Studies, 64 (), pp. Department of Mathematics Faculty of Education Mie University and Department of Mathematics College of General Education Nagoya University Present address of the second author Department of Mathematics Nagoya Institute of TechnologyCited by: 1.

The equidistribution theory of holomorphic curves. Princeton Univ. Press, Princeton, N.J. Sung CH. () Defect relations of holomorphic curves and their associated curves in CP m.

In: Laine I., Lehto O., Sorvali T. (eds) Complex Analysis Joensuu Lecture Notes in Mathematics, vol eBook Packages Springer Book Archive Author: Chen-Han Sung. The Equidistribution Theory of Holomorphic Curves.

(AM), 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. One of the central results in holomorphic dynamics in several variables is the equidistribution of preimages theorem, which constructs invariant probability measures for a large class of.

Abstract. We study holomorphic curves in ann-dimensional complex manifold on which a family of divisors parametrized by anm-dimensional compact complex manifold isfor a given sequence of such curves, their areas (in the induced metric) monotonically tend to infinity, then for every divisor one can define adefect characterizing the deviation of the frequency at which this sequence Cited by: 1.

Convolution and Equidistribution explores an important aspect of number theory — the theory of exponential sums over finite fields and their Mellin transforms — from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject.

Equidistribution for sequences of line bundles on normal Kähler spaces Coman, Dan, Ma, Xiaonan, and Marinescu, George, Geometry & Topology, Singular hermitian metrics on holomorphic vector bundles Raufi, Hossein, Arkiv för Matematik, Cited by: Hung-Hsi Wu: free download.

Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. A pseudoholomorphic curve satisfying this equation can be called, more specifically, a -holomorphic curve. The perturbation is sometimes assumed to be generated by a Hamiltonian (particularly in Floer theory), but in general it need not be.

A pseudoholomorphic curve. Equidistribution modulo 1. A sequence { a1, a2, a3, } of real numbers is said to be equidistributed modulo 1 or uniformly distributed modulo 1 if the sequence of the fractional parts of an, denoted by { an } or by an − ⌊ an ⌋, is equidistributed in the interval [0, 1].

Bott and S. S. Chern, Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections, Acta Math. (), MR 32 # MR 32 # Zentralblatt MATH: Mathematical Reviews (MathSciNet): MRCited by: 5.A Theorem of Differential Mappings of Riemann Surfaces.

The Equidistribution Theory of Holomorphic Curves. Nevanlinna theory and holomorphic mappings between algebraic varieties. This work was partially supported by a grant from the National Science Foundation.

The second author was a professor of the Miller Institute at the University of California (Berkeley) and received partial support from the Office of Naval by: