Liste der wissenschaftlichen Arbeiten
Monographien:
Holzapfel,
R.-P.: Geometry and Arithmetic Around Euler Partial Differential Equations, Dt.
Verlag d. Wiss., Berlin / Reidel Publ. Comp., Dordrecht, 1986
The
Ball and Some Hilbert Problems, Lectures in Math., Birkh\"auser, Basel, 1996
Ball
and Surface Arithmetics, Aspects of Mathematics E 29, Vieweg,
Braunschweig -Wiesbaden, 1998
Artikel der letzten Jahre:
An
effective finiteness theorem for ball lattices, Springer Lecture Notes 1447
(1990), 203 - 236
A
voyage with three balloons, in:
The Mathematical Intelligencer, 1/1990, New York - Berlin – Heidelberg -
Tokyo
On
algebraic values of the Picard modular function, Proc. Taniguchi Workshop
"Special Differential Equations", Katata 1991, publ. by Dep. Math.
Kyushu Univ. Fukuoka (1991), 48 - 61
A
special Fuchsian system connecting some Hilbert problems, R.I.M.S. 773
(1991), Kyoto Univ., 28-52
The
ball and some diophantine equations, Math. Nachr. 158 (1992), 87 – 97
Trascendental
ball points of algebraic Picard integrals, Math. Nachr. 161 (1993), 7 -
25
Hierarchies of endomorphism algebras of abelian varieties corresponding to Picard modular surfaces, Schriftenr. "Komplexe Mannigfaltigkeiten", 190, Erlangen, 1994
Symplectic representation fo a braid
group on 3-sheeted covers of the Riemann sphere , Serdicca Math J. 23 (1997),
143-164 Preprint 96-17
Zeta Dimension Formula for Picard
Modular Cusp Forms of Neat Natural Congruence Subgroups HU-Preprint
97-5, Abh. Math. Sem. Hamburg, 68 (1998), 169-192
Picard-Einstein
metrics and class fields connected with Apollonius cycle HU-Preprint, 98-15 (mit Koautoren A. Pi\~{n}eiro, N.
Vladov)
Cyclotomic Curve Families over
Elliptic Curves with Complete Picard-Einstein-Metric , HU-Preprint, 2000-1
Picard-Einstein
metrics on $\mathbb{P}^2$ degenerated along projective plane quadrics, HU-Preprint, 2000-4, erscheint
in 2000-Band der Berliner Math. Ges. (2001)
Reduction of Elliptic Curves and
Torsion Points
HU-Preprint 97-3
Nadel's Subschemes of Fano Manifolds
X with a Picard Group Pic(X) Isomorphic to Z HU-Preprint
97-4
Quadrik-line Configurations
Degenerating Plane Picard-Einstein Metrics I-II
Global Cyclotomic Picard
CM-Jacobians and their Periods
Dimension Formulas for automorphic
forms of neat coabelian 2-ball lattices
Basic Algebraic Geometry for coding Theory
Cuba 11/2000
Presented during the lectures at CIMPA-UNSA-ICTP-UNESCO-ICIMAF School
Cuba 11/2000
The Emergence of Picard Jacobians in Cryptographie
Preprint Februar 2001
Abelian approach to modular forms of neat 2-ball lattices: Dimension formulas
Preprint Oktober 2001
Jacobi theta embedding of a hyperbolic 4-space with cusps
Preprint Oktober 2001
Orbital Functional Series of Picard Surfaces August 2002