Browsing Preprints aus dem Institut für Mathematik by Subject "unit ball"
Now showing items 1-7 of 7
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2001-10-05BuchAbelian approach to modular forms of neat 2-ball lattices In 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 According 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 Starting 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 We 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 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 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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2005-11-07BuchQuadric-Line Configurations Degenerating Plane Picard Einstein Metrics I-II 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 ...
