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

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Release : 1993
Genre : Mathematics
Kind : eBook
Book Rating : 64X/5 ( reviews)

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Book Synopsis Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines by : Eriko Hironaka

Download or read book Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines written by Eriko Hironaka. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Abelian Coverings of the Complex Projective Plane Branched Along...

Download Abelian Coverings of the Complex Projective Plane Branched Along... PDF Online Free

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Release : 2014-08-31
Genre : Algebraic varieties
Kind : eBook
Book Rating : 798/5 ( reviews)

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Book Synopsis Abelian Coverings of the Complex Projective Plane Branched Along... by : Eriko Hironaka

Download or read book Abelian Coverings of the Complex Projective Plane Branched Along... written by Eriko Hironaka. This book was released on 2014-08-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Download Abelian Covering of the Complex Projective Plane Branched Along Configurations of Real Lines PDF Online Free

Author :
Release : 1992
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Abelian Covering of the Complex Projective Plane Branched Along Configurations of Real Lines by : Eriko Hironaka

Download or read book Abelian Covering of the Complex Projective Plane Branched Along Configurations of Real Lines written by Eriko Hironaka. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Configuration Spaces

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Author :
Release : 2013-12-18
Genre : Mathematics
Kind : eBook
Book Rating : 318/5 ( reviews)

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Book Synopsis Configuration Spaces by : Anders Björner

Download or read book Configuration Spaces written by Anders Björner. This book was released on 2013-12-18. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians.

Topological Invariants of the Complement to Arrangements of Rational Plane Curves

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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 424/5 ( reviews)

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Book Synopsis Topological Invariants of the Complement to Arrangements of Rational Plane Curves by : José Ignacio Cogolludo-Agustín

Download or read book Topological Invariants of the Complement to Arrangements of Rational Plane Curves written by José Ignacio Cogolludo-Agustín. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: The authors analyse two topological invariants of an embedding of an arrangement of rational plane curves in the projective complex plane, namely, the cohomology ring of the complement and the characteristic varieties. Their main result states that the cohomology ring of the complement to a rational arrangement is generated by logarithmic 1 and 2-forms and its structure depends on a finite number of invariants of the curve (its combinatorial type).

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