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THE GEOMETRY OF DETERMINANTAL LOCI

by T.G. Room

Published by Cambridge University Press. 1938

Very good condition. Large format. Blue cloth with gilt title to spine. The book contains 3 parts. Part I - Looks at Manifolds Defined by Matrices of General Form; Part II: Manifolds Defined by Matrices of Special Forms; Part III: Determinantal Quartic Primals In Space of Four Dimensions.

Bumping and wear to spine and corners. Spine is browned. Some marks and scuffing to covers. Light page browning and some foxing.

Stock no. 2119041

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Contents

  • Preface
  • Introduction
  • References
  • CHAPTER I. SOME FUNDAMENTAL IDEAS IN PROJECTIVE GEOMETRY
  • PART I
  • MANIFOLDS DEFINED BY MATRICES OF GENERAL FORM
  • CHAPTER II. PROJECTIVELY GENERATED MANIFOLDS: DEFINITIONS AND ELEMENTARY PROPERTIES
  • CHAPTER III. BIRATIONALLY RELATED AND DEGENERATE DETERMINANTAL LOCI
  • CHAPTER IV. THE PAIRING THEOREMS, AND THE THEOREM OF THE DOUBLE-N
  • CHAPTER V. THE KEY-MANIFOLDS
  • CHAPTER VI. DETERMINANTAL PRIMALS
  • CHAPTER VII. THE FREEDOM OF A PROJECTIVELY GENERATED MANIFOLD
  • PART II
  • MANIFOLDSD DEFINED BY MATRICES OF SPECIAL FORMS
  • CHAPTER VIII. THE KEY-MANIFOLDS OF THE TYPES DEFINED BY SYMMETRICAL DETERMINANTS: THE VERONESEANS OF QUADRICS
  • CHAPTER IX. PRIMALS REPRESENTED BY SYMMETRICAL DETERMINANTS
  • CHPATER X. MANIFOLDS DEFINED BY SKEW SYMMETRICAL DETERMINANTS: GRASSMANNIANS OF LINES
  • CHAPTER XI. NORMAL RATIONAL SCROLLS OF [k]'S
  • CHAPTER XII. REPRESENTATIONS OF SPACES BY POINTS
  • CHAPTER XIII. SOME ASSOCIATION AND OTHER INCIDENCE THEOREMS
  • PART III
  • DETERMINANTAL QUARTIC PRIMALS IN SPACE OF FOUR DIMENSIONS
  • CHAPTER XIV. THE BORDIGA SEXTIC SURFACE IN [4]
  • CHAPTER XV. PRIMALS REPRESENTED BY THE VANISHING OF A GENERAL DETERMINANT OF ORDER 4
  • CHPATER XVI. SOME SPECIAL QUARTIC DETERMINANTAL PRIMALS IN [4]
  • APPENDIX I. VERONESEANS AND GRASSMANNIANS
  • APPENDIX II. THE CHARACTERISTIC NUMBERS OF CERTAIN DETERMINANTAL MANIFOLDS
  • APPENDIX III. THE FREEDOMS OF MANIFOLDS

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