Deligne / Mostow Commensurabilities among Lattices in PU (1,n)

1. Auflage 2016
ISBN: 978-1-4008-8251-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 132, 218 Seiten

Reihe: Annals of Mathematics Studies

Pierre Deligne is a Permanent Member of the Department of Mathematics at the Institute for Advanced Study in Princeton. G. Daniel Mostow is Henry Ford II Professor of Mathematics at Yale University.

Autoren/Hrsg.

Deligne, Pierre R.

Mostow, George Daniel

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie

Inhaltsverzeichnis

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 µ’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

Über Autor(innen)

Pierre Deligne is a Permanent Member of the Department of Mathematics at the Institute for Advanced Study in Princeton. G. Daniel Mostow is Henry Ford II Professor of Mathematics at Yale University.