منابع مشابه
On monodromy of complex projective structures
We prove that for any nonelementary representation p: nl(S)-, SL(2, ~) of the fundamental group of a closed orientable hyper-bolic surface S there exists a complex projective structure on S with the monodromy p.
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In this article, we compute the braid monodromy of two algebraic curves defined over R. These two curves are of complex level not bigger than 6, and they are unions of lines and conics. We use two different techniques for computing their braid monodromies. These results will be applied to computations of fundamental groups of their complements in C and CP.
متن کاملMonodromy Groups of Coverings of Curves
We consider nite separable coverings of curves f : X → Y over a eld of characteristic p ≥ 0. We are interested in describing the possible monodromy groups of this cover if the genus of X is xed. There has been much progress on this problem over the past decade in characteristic zero. Recently Frohardt and Magaard completed the nal step in resolving the Guralnick Thompson conjecture showing that...
متن کاملBraid Monodromy and Topology of Plane Curves
In this paper we prove that braid monodromy of an affine plane curve determines the topology of a related projective plane curve. Introduction Our purpose in this paper is to relate the topological embedding of algebraic curves to a refinement of a well-known invariant of curves such as braid monodromy. Roughly speaking, braid monodromy is defined for a triple (C , L , P), where C ⊂ P2 is a cur...
متن کاملWild monodromy and automorphisms of curves
Let R be a complete discrete valuation ring of mixed characteristic (0, p) with field of fractions K containing the p-th roots of unity. This paper is concerned with semi-stable models of p-cyclic covers of the projective line C −→ PK . We start by providing a new construction of a semi-stable model of C in the case of an equidistant branch locus. If the cover is given by the Kummer equation Zp...
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2005
ISSN: 1056-3911,1534-7486
DOI: 10.1090/s1056-3911-05-00408-x