Abelian Coverings of the Complex Projective Plane Branched Along Configurations of Real Lines

This work studies abelian branched coverings of smooth complex projective surfaces from the topological viewpoint. Geometric information about the coverings (such as the first Betti numbers of a smooth model or intersections of embedded curves) is related to topological and combinatorial information about the base space and branch locus. Special attention is given to examples in which the base space is the complex projective plane and the branch locus is a configuration of lines.

• ISBN 13 : 082182564X
• ISBN 10 : 9780821825648
• Judul : Abelian Coverings of the Complex Projective Plane Branched Along Configurations of Real Lines
• Pengarang : Eriko Hironaka,  
• Kategori : Mathematics
• Penerbit : American Mathematical Soc.
• Bahasa : en
• Tahun : 1993
• Halaman : 85
• Halaman : 85
• Google Book : https://play.google.com/store/books/details?id=1ITUCQAAQBAJ&source=gbs_api
• Ketersediaan :

Since, in particular, Y is smooth at p, q must also be a smooth point of X. We will
now assume p is a point in B. Let U be a small ball around p isomorphic to a
complex disk, so that, for any two distinct points q1 and q2 in p"(p), the connected
 ...