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Browsing by Author "Holzapfel, Rolf-Peter"
Now showing items 1-10 of 10
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2001-10-05BuchAbelian approach to modular forms of neat 2-ball lattices Holzapfel, Rolf-PeterIn previous papers [HoEis], [Ho2000] we found neat Picard modular surfaces with abelian minimal model and, conversely, a divisor criterion on abelian surfaces A for such a situation. For the corresponding ball lattices ...
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2000-03-28BuchCyclotomic Curve Families over Elliptic Curves with Complete Picard-Einstein Metric Holzapfel, Rolf-PeterAccording to a problem of Hirzebruch we look for models of biproducts of elliptic CM-curves with Picard modular structure. We introduce the singular mean value of crossing elliptic divisors on surfaces and determine its ...
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2001-10-12BuchJacobi theta embedding of a hyperbolic 4-space with cusps Holzapfel, Rolf-PeterStarting from a fixed elliptic curve with complex multiplication we compose lifted quotients of elliptic Jacobi theta functions to abelian functions in higher dimension. In some cases, where complete Picard-Einstein metrics ...
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2005-11-04BuchOrbital Functional Series on Picard Surfaces Holzapfel, Rolf-PeterWe introduce orbital functionals $\int \boldsymbol{\beta} $ simultaneously for each commensurability class of orbital surfaces. They are realized on infinitely dimensional \emph{orbital} divisor spaces spanned by ...
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1999-12-10BuchPicard-Einstein Metrics and Class Fields Connected with Apollonius Cycle Holzapfel, Rolf-Peter; Piñeiro, A.; Vladov, N.We define Picard-Einstein metrics on complex algebraic surfaces as Kähler-Einstein metrics with negative constant sectional curvature pushed down from the unit ball via Picard modular groups allowing degenerations along ...
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1998-08-17BuchPicard-Einstein Metrics and Class Fields Connected with Apollonius Cycle Holzapfel, Rolf-PeterWe define Picard_Einstein metrics on complex algebraic surfaces as Kähler-Einstein metrics with negative constant sectional curvature pushed down from the unit ball via Picard modular groups allowing degenerations along ...
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2005-11-07BuchQuadric-Line Configurations Degenerating Plane Picard Einstein Metrics I-II Holzapfel, Rolf-Peter; Vladov, N.We define Picard-Einstein metrics on complex algebraic surfaces as Kähler-Einstein metrics with negative constant sectional curvature pushed down from the complex unit ball allowing degenerations along cycles. We ...
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2005-10-26BuchSymplectic representation of a braid group on 3-sheeted covers of the Riemann sphere Holzapfel, Rolf-PeterWhy we called the class of two-dimensional Shimura varieties, which are not Hilbert modular, "Picard modular surfaces" ? In the mean time the name has been generally accepted, see e.g. Langlands (and others) [L-R]. On the ...
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2001-02-15BuchThe Emergence of Picard Jacobians in Cryptography Sarlabous, Jorge Estrada; Cherdieu, Jean-Pierre; Barreiro, Ernesto Reinaldo; Holzapfel, Rolf-PeterIn this paper we present a new family of Jacobian Varieties defined over finite fields that provides many elements whose group structure is suitable for cryptosystems based on the intractability of the discrete logarithm ...
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1997-05-09BuchZeta Dimension Formula for Picard Modular Cusp Forms of Neat Natural Congruence Subgroups Holzapfel, Rolf-Peter
