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Deligne, Pierre. Mostow, George D.:

Commensurabilities among lattices in PU (1,n) / Pierre Deligne and G. Daniel Mostow - First edition

1993, ISBN: 9780691000961

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Princeton, N.J. : Princeton University Press, 1993. 1st edition. Softcover. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-c… More...

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Commensurabilities among lattices in PU (1,n) / Pierre Deligne and G. Daniel Mostow - Deligne, Pierre. Mostow, George D.
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Deligne, Pierre. Mostow, George D.:

Commensurabilities among lattices in PU (1,n) / Pierre Deligne and G. Daniel Mostow - First edition

1993, ISBN: 0691000964

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[EAN: 9780691000961], [SC: 9.61], [PU: Princeton, N.J. : Princeton University Press], Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especiall… More...

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Deligne, Pierre, and Mostow, G Daniel:
Commensurabilities Among Lattices in Pu (1, N). (Am-132), Volume 132 - Paperback

1993

ISBN: 9780691000961

Trade paperback, Fine., Trade paperback (US). Glued binding. 218 p. Contains: Illustrations, black & white. Annals of Mathematics Studies, 132. In Stock. 100% Money Back Guarantee. Brand … More...

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Commensurabilities among Lattices in PU (1,n). (AM-132) - Deligne, Pierre; Mostow, G. Daniel
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Deligne, Pierre; Mostow, G. Daniel:
Commensurabilities among Lattices in PU (1,n). (AM-132) - Paperback

1993, ISBN: 0691000964

[EAN: 9780691000961], Neubuch, [PU: Princeton University Press], Book is in NEW condition., Books

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Commensurabilities among Lattices in PU (1,n). (AM-132) - Deligne, Pierre
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Deligne, Pierre:
Commensurabilities among Lattices in PU (1,n). (AM-132) - Paperback

1993, ISBN: 0691000964

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Commensurabilities among Lattices in PU (1, n). (AM-132) (Annals of Mathematics Studies, 132)
Author:
Title:
ISBN:

0691000964


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 distinct points on the projective line "P" modulo, the diagonal section of Auto "P"="m." For "n"=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points.This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of "PU"(1, "n").The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in "PU"(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometric-like functions by their exponents at the divisors "at infinity" permits one to prove generalizations in "n"-variables of the Kummer identities for "n"-1 involving quadratic and cubic changes of the variable.

Details of the book - Commensurabilities among Lattices in PU (1, n). (AM-132) (Annals of Mathematics Studies, 132)


EAN (ISBN-13): 9780691000961
ISBN (ISBN-10): 0691000964
Paperback
Publishing year: 1993
Publisher: Princeton University Press
218 Pages
Weight: 0,272 kg
Language: eng/Englisch

Book in our database since 2008-04-14T03:17:22+01:00 (London)
Detail page last modified on 2024-02-24T16:36:27+00:00 (London)
ISBN/EAN: 0691000964

ISBN - alternate spelling:
0-691-00096-4, 978-0-691-00096-1
Alternate spelling and related search-keywords:
Book author: deligne pierre
Book title: commensurabilities among lattices, 132, annals mathematics

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