ENGLISH

Ball and Surface Arithmetics (Aspects of Mathematics)

By Rolf-Peter Holzapfel

Book information

Publisher
American Mathematical Society
Year
1996
ISBN
3528065117, 9783528065119
Open Library ID
OL12768694M
Language
english
Format
DJVU
Filesize
5 MB (5088774 bytes)
Pages
428\428
DPI
300
Scanned
yes
Time added
2011-08-31 04:54:40

Description

The main purpose of this book is to introduce into surface theory new kinds of rational discrete invariants (hights) explicitly and to demonstrate their power for solving actual problems. These hights are postulated to be invariant with respect to finite coverings up to a well-documented factor. As a first immediate application one gets, explicitly and quite generally, formulae of Hurwitz type for the classical basic invariants of surfaces. These Hurwitz formulae are explicitly known in general only for special coverings. Another field of application is the theory of Picard modular surfaces. The book also presents the new results of these.

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