Selected papers of Yu.I. Manin

Bibliographic Information

Selected papers of Yu.I. Manin

Yu.I. Manin

(World Scientific series in 20th century mathematics, vol. 3)

World Scientific, c1996

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Note

Includes bibliographical references

Description and Table of Contents

Description

The book is a collection of research and review articles in several areas of modern mathematics and mathematical physics published in the span of three decades. The ICM Kyoto talk “Mathematics as Metaphor” summarises the author's view on mathematics as an outgrowth of natural language.

Table of Contents

  • Part 1 Algebraic geometry: the Hasse-Witt matrix of an algebraic curve
  • rational points of algebraic curves over functional fields
  • correspondences, motive and monoidal transforms
  • new directions in geometry
  • arrangements of hyperplanes, higher braid groups and higher Bruhat orders. Part 2 Modular forms and diophantine equations: the p-torsion of elliptic curves is uniformly bounded
  • parabolic points and zeta-functions of modular curves
  • periods of p-adic Schottky groups
  • rational points of bounded height of Fano varieties
  • points of bounded height on del Pezzo surfaces. Part 3 Differential equations and mathematical physics: long wave equation with free boundary - 1
  • conservation laws and solutions
  • long wave equations with a free surface - 2
  • Hamiltonian structure and higher equations
  • a supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
  • the Momford form and the Polyakov measure in string theory
  • Gromov-Witten classes, quantum cohomology and enumerative geometry
  • and other papers.

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Details

  • NCID
    BA28383034
  • ISBN
    • 9810224982
  • LCCN
    96018705
  • Country Code
    si
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Singapore
  • Pages/Volumes
    xii, 600 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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