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

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Orbital Surfaces,We work in the category of all compact complex normal algebraic surfaces with (at most) singularities of . type. A . on such a surface . is a formal sum ., where . = (., .; ...) is a (smooth) orbital curve on . and .. is an (arranged) abelian point on ., . = 1,...,., . = 1,..., .. The following axioms have to be satisfied:

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Handbuch der Laplace-Transformation 2. Its group of biholomorphic automorphisms is the projective group ?.((2,1), ?) = ?.((2,1), ?) acting on ? by fractional linear transformations. With obvious notations the corresponding (special) unitary group is defined by ..

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Allgemeine Betrachtungen über Asymptotikalgebraic surface and has only cyclic singularities on .. Furthermore, we can assume that for any cyclic singularity . ∈ . there exists a smooth curve germ . on . through . such that (., .; ., .) is a reduced abelian point. A . along . is a pair (., .), . ≠ 0 a natural number. We say that the abelia

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Partielle Differenzengleichungenxtend the notion of orbital surfaces. In the Galois theory orbital surfaces, orbital curves and points can be expressed by means of divisors and singularities. These are quite classical objects. The classical language does not work nicely in the general theory of surface coverings. Here we have to i

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Ball Quotient Surfaces, 2. Its group of biholomorphic automorphisms is the projective group ?.((2,1), ?) = ?.((2,1), ?) acting on ? by fractional linear transformations. With obvious notations the corresponding (special) unitary group is defined by ..