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§5. GELFAND’S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS

  • Pierre Deligne and G. Daniel Mostow
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Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132
This chapter is in the book Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132
© 2016 Princeton University Press, Princeton

© 2016 Princeton University Press, Princeton

Chapters in this book

  1. Frontmatter i
  2. CONTENTS v
  3. ACKNOWLEDGMENTS vii
  4. §1. INTRODUCTION 1
  5. §2. PICARD GROUP AND COHOMOLOGY 10
  6. §3. COMPUTATIONS FOR Q AND Q+ 17
  7. §4. LAURICELLA’S HYPERGEOMETRIC FUNCTIONS 27
  8. §5. GELFAND’S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS 35
  9. §6. STRICT EXPONENTS 43
  10. §7. CHARACTERIZATION OF HYPERGEOMETRIC-LIKE LOCAL SYSTEMS 55
  11. §8. PRELIMINARIES ON MONODROMY GROUPS 71
  12. §9. BACKGROUND HEURISTICS 80
  13. §10. SOME COMMENSURABILITY THEOREMS 84
  14. §11. ANOTHER ISOGENY 102
  15. §12. COMMENSURABILITY AND DISCRETENESS 119
  16. §13. AN EXAMPLE 124
  17. §14. ORBIFOLD 135
  18. §15. ELLIPTIC AND EUCLIDEAN μ’S, REVISITED 142
  19. §16. LIVNE’S CONSTRUCTION OF LATTICES IN PU(1,2) 161
  20. §17. LIN E ARRANGEMENTS: QUESTIONS 169
  21. Bibliography 182
https://doi.org/10.1515/9781400882519-006

Chapters in this book

  1. Frontmatter i
  2. CONTENTS v
  3. ACKNOWLEDGMENTS vii
  4. §1. INTRODUCTION 1
  5. §2. PICARD GROUP AND COHOMOLOGY 10
  6. §3. COMPUTATIONS FOR Q AND Q+ 17
  7. §4. LAURICELLA’S HYPERGEOMETRIC FUNCTIONS 27
  8. §5. GELFAND’S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS 35
  9. §6. STRICT EXPONENTS 43
  10. §7. CHARACTERIZATION OF HYPERGEOMETRIC-LIKE LOCAL SYSTEMS 55
  11. §8. PRELIMINARIES ON MONODROMY GROUPS 71
  12. §9. BACKGROUND HEURISTICS 80
  13. §10. SOME COMMENSURABILITY THEOREMS 84
  14. §11. ANOTHER ISOGENY 102
  15. §12. COMMENSURABILITY AND DISCRETENESS 119
  16. §13. AN EXAMPLE 124
  17. §14. ORBIFOLD 135
  18. §15. ELLIPTIC AND EUCLIDEAN μ’S, REVISITED 142
  19. §16. LIVNE’S CONSTRUCTION OF LATTICES IN PU(1,2) 161
  20. §17. LIN E ARRANGEMENTS: QUESTIONS 169
  21. Bibliography 182
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