منابع مشابه
Hirzebruch Surfaces: Degenerations, Related Braid Monodromy, Galois Covers
We describe various properties of Hirzebruch surfaces and related constructions: degenerations, braid monodromy, Galois covers and their Chern numbers.
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Let X be a surface of degree 5, which is considered as a branch cover of CP with respect to a generic projection. The surface has a natural Galois cover with Galois group Sn. In this paper, we compute the fundamental groups of Galois covers of degree 5 that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line. As an application, ...
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In a series of works [Bo3-5], Borcherds developed a theory of modular forms over domains of type IV which admits an infinite product expansion. Such modular forms are said to be Borcherds's product in this paper. Among all Borcherds's products, Borcherds's Φ-function ([Bo4]) has an interesting geometric background; It is a modular form on the moduli space of Enriques surfaces characterizing the...
متن کاملUnramified Covers of Galois Covers of Low Genus Curves
Let X → Y be a Galois covering of curves, where the genus of X is ≥ 2 and the genus of Y is ≤ 2. We prove that under certain hypotheses, X has an unramified cover that dominates a hyperelliptic curve; our results apply, for instance, to all tamely superelliptic curves. Combining this with a theorem of Bogomolov and Tschinkel shows that X has an unramified cover that dominates y = x − 1, if char...
متن کاملSupersingular K3 Surfaces in Characteristic 2 as Double Covers of a Projective Plane
For every supersingular K3 surface X in characteristic 2, there exists a homogeneous polynomial G of degree 6 such that X is birational to the purely inseparable double cover of P defined by w = G. We present an algorithm to calculate from G a set of generators of the numerical Néron-Severi lattice of X. As an application, we investigate the stratification defined by the Artin invariant on a mo...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1996
ISSN: 0373-0956
DOI: 10.5802/aif.1507