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Titlebook: Ball and Surface Arithmetics; Rolf-Peter Holzapfel Textbook 1998 Springer Fachmedien Wiesbaden 1998 algebra.algorithms.classification.fiel

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Textbook 1998ions with Russian mathematicians around VENKOV, VINBERG, MANIN, SHAFAREVICH and the nice guide line of investigations of HILBERT modular surfaces started by HIRZEBRUCH in Bonn. More recently, we can refer to the independent (until now) study of Zeta functions of PICARD modular surfaces in the book [
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Partielle Differenzengleichungended by many outstanding mathematicians and it is not finished until these days. For algebraic surfaces we converse in some sense the idea. Let . be algebraic surfaces, say smooth, complex, compact, and . : . → . a finite covering. The branch locus .. of . is a (reduced) divisor on .. For a simple il
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Allgemeine Betrachtungen über Asymptotik germ . on . through . such that (., .; ., .) is a reduced abelian point. A . along . is a pair (., .), . ≠ 0 a natural number. We say that the abelian point P = (., .; ., .’.’.) . (., .), if . = ., with ., . as above.
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Orbital Curves, germ . on . through . such that (., .; ., .) is a reduced abelian point. A . along . is a pair (., .), . ≠ 0 a natural number. We say that the abelian point P = (., .; ., .’.’.) . (., .), if . = ., with ., . as above.
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Picard Modular Surfaces,rresponding to K with higher discriminants. There are some new results for the . modular surfaces of . numbers which are of number theoretic interest in close connection with 2-dimensional versions of . 12-th (class field) and 7-th (transendence) problem. We refer to the monograph [HO8].
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Textbook 1998years appearing in a lot of special articles. The first four chapters present the heart of this work in a self-contained manner (up to well-known ba­ sic facts) increased by the new functorial concept of orbital heights living on orbital surfaces. It is extended in chapter 6 to an explicit HURWITZ t
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