Description

Book Synopsis
Deals with the characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. This book compares monodromy groups corresponding to different parameters and proves commensurability modulo inner automorphisms of PU(1,n).

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

Commensurabilities among Lattices in PU 1n

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    A Paperback / softback by Pierre Deligne, G. Daniel Mostow

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      View other formats and editions of Commensurabilities among Lattices in PU 1n by Pierre Deligne

      Publisher: Princeton University Press
      Publication Date: 12/09/1993
      ISBN13: 9780691000961, 978-0691000961
      ISBN10: 0691000964
      Also in:
      Mathematics

      Description

      Book Synopsis
      Deals with the characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. This book compares monodromy groups corresponding to different parameters and proves commensurability modulo inner automorphisms of PU(1,n).

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

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