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THE GEOMETRY OF DETERMINANTAL LOCI

Written by T.G. Room
Published by Cambridge University Press in 1938

THE GEOMETRY OF DETERMINANTAL LOCI
Written by T.G. Room.
Stock no. 1811329
1st. 1938. Hardback. Large format. 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. Boards lightly mottled at edges. Text block a little grubby. 1.5cm x 6.5cm cut from top of front endppaer. Minor foxing to endpapers else contents clean. Boards slightly bowed.

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THE GEOMETRY OF DETERMINANTAL LOCI
Written by T.G. Room.
Stock no. 2119041
1938. Hardback. Large format. 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.

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Front cover

Cover of THE GEOMETRY OF DETERMINANTAL LOCI by T.G. Room

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