منابع مشابه
Hyperbolicity of geometric orbifolds
We study complex hyperbolicity in the setting of geometric orbifolds introduced by F. Campana. Generalizing classical methods to this context, we obtain degeneracy statements for entire curves with ramification in situations where no Second Main Theorem is known from value distribution theory.
متن کاملD-geometric structure of orbifolds
We study D-branes on abelian orbifolds C/ZN for d = 2, 3. The toric data describing the D-brane vacuum moduli space, which represents the geometry probed by D-branes, has certain redundancy compared with the classical geometric description of the orbifolds. We show that the redundancy has a simple combinatorial structure and find analytic expressions for degrees of the redundancy. For d = 2 the...
متن کاملSurface branched covers and geometric 2-orbifolds
Let Σ̃ and Σ be closed, connected, and orientable surfaces, and let f : Σ̃ → Σ be a branched cover. For each branching point x ∈ Σ the set of local degrees of f at f−1(x) is a partition of the total degree d. The total length of the various partitions is determined by χ(Σ̃), χ(Σ), d and the number of branching points via the Riemann-Hurwitz formula. A very old problem asks whether a collection of ...
متن کاملSpline Orbifolds
In order to obtain a global principle for modeling closed surfaces of arbitrary genus, first hyperbolic geometry and then discrete groups of motions in planar geometries of constant curvature are studied. The representation of a closed surface as an orbifold leads to a natural parametrization of the surfaces as a subset of one of the classical geometries S, E and H. This well known connection c...
متن کاملHeterotic Orbifolds
A review of orbifold geometry is given, followed by a review of the construction of fourdimensional heterotic string models by compactification on a six-dimensional Z3 orbifold. Particular attention is given to the details of the transition from a classical theory to a first-quantized theory. Subsequently, a discussion is given of the systematic enumeration of all standard-like three generation...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 1988
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.1988.v1.n1.18183