Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 /

Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 / / G. Daniel Mostow, Pierre Deligne.

The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of di...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Deligne, Pierre,
Mostow, G. Daniel,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1994
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 132
Online Access:
Physical Description:1 online resource (218 p.)
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • ACKNOWLEDGMENTS
  • §1. INTRODUCTION
  • §2. PICARD GROUP AND COHOMOLOGY
  • §3. COMPUTATIONS FOR Q AND Q+
  • §4. LAURICELLA'S HYPERGEOMETRIC FUNCTIONS
  • §5. GELFAND'S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS
  • §6. STRICT EXPONENTS
  • §7. CHARACTERIZATION OF HYPERGEOMETRIC-LIKE LOCAL SYSTEMS
  • §8. PRELIMINARIES ON MONODROMY GROUPS
  • §9. BACKGROUND HEURISTICS
  • §10. SOME COMMENSURABILITY THEOREMS
  • §11. ANOTHER ISOGENY
  • §12. COMMENSURABILITY AND DISCRETENESS
  • §13. AN EXAMPLE
  • §14. ORBIFOLD
  • §15. ELLIPTIC AND EUCLIDEAN μ'S, REVISITED
  • §16. LIVNE'S CONSTRUCTION OF LATTICES IN PU(1,2)
  • §17. LIN E ARRANGEMENTS: QUESTIONS
  • Bibliography

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