منابع مشابه
Classical Zariski Pairs
We compute the fundamental groups of all irreducible plane sextics constituting classical Zariski pairs
متن کاملA Note on Zariski Pairs
Definition. A couple of complex reduced projective plane curves C1 and C2 of a same degree is said to make a Zariski pair, if there exist tubular neighborhoods T (Ci) ⊂ P of Ci for i = 1, 2 such that (T (C1), C1) and (T (C2), C2) are diffeomorphic, while the pairs (P, C1) and (P , C2) are not homeomorphic; that is, the singularities of C1 and C2 are topologically equivalent, but the embeddings ...
متن کاملZariski Pairs on Sextics Ii
We continue to study Zariski pairs in sextics. In this paper, we study Zariski pairs of sextics which are not irreducible. The idea of the construction of Zariski partner sextic for reducible cases is quit different from the irreducible case. It is crucial to take the geometry of the components and their mutual intersection data into account. When there is a line component, flex geometry (i.e.,...
متن کاملZariski Pairs on Sextics I
We study Zariski pairs of sextics which are distinguished by the Alexander polynomials. For this purpose, we present two constructive methods to produce explicit sextics of non-torus type with given configuration of simple singularities.
متن کاملOn Arithmetic Zariski Pairs in Degree 6
We define a topological invariant of complex projective plane curves. As an application, we present new examples of arithmetic Zariski pairs.
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ژورنال
عنوان ژورنال: Journal of Singularities
سال: 2010
ISSN: 1949-2006
DOI: 10.5427/jsing.2010.2c