A non-Hausdorff model for the complement of a complexified hyperplane arrangement
نویسندگان
چکیده
منابع مشابه
A nonhausdorff model for the complement of a complexified hyperplane arrangement
Given a hyperplane arrangement A in a real vector space V , we introduce a real algebraic prevariety Z(A), and exhibit the complement ofA in the complexification of V as the total space of an affine bundle over Z(A) with fibers modeled on the dual vector space V . 1 Statement Let V be a real vector space of dimension d, and let f1, . . . , fn be a collection of nonconstant affine linear functio...
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15 صفحه اولOn the Fundamental Group of the Complement of a Complex Hyperplane Arrangement
We construct two combinatorially equivalent line arrangements in the complex projective plane such that the fundamental groups of their complements are not isomorphic. In the proof we use a new invariant of the fundamental group of the complement of a line arrangement with prescribed combinatorial type with respect to isomorphisms inducing the canonical isomorphism of first homology groups.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2007
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-07-08949-6