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Topological Invariants of the Complement to Arrangements of Rational Plane Curves

2014-09-11 Cohomology operations
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Release : 2014-09-11
Genre : Cohomology operations
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Book Rating : 492/5 ( reviews)

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Book Synopsis Topological Invariants of the Complement to Arrangements of Rational Plane Curves by : Jos' Ignacio Cogolludo-Agust-N

Download or read book Topological Invariants of the Complement to Arrangements of Rational Plane Curves written by Jos' Ignacio Cogolludo-Agust-N. This book was released on 2014-09-11. Available in PDF, EPUB and Kindle. Book excerpt: Preliminaries Ring structure of $H^\bullet(\mathbb{P}^2\backslash \mathcal{R}; \mathbb{C})$ Generalized Aomoto complexes Characteristic varieties, local systems and rational arrangements Examples Bibliography.

Topological Invariants of the Complement to Arrangements of Rational Plane Curves

1999
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Release : 1999
Genre :
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Book Synopsis Topological Invariants of the Complement to Arrangements of Rational Plane Curves by : Jose I. Cogolludo

Download or read book Topological Invariants of the Complement to Arrangements of Rational Plane Curves written by Jose I. Cogolludo. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Invariants of the Complement to Arrangements of Rational Plane Curves

2002 Mathematics
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Release : 2002
Genre : Mathematics
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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).

Singularities in Geometry and Topology

2007 Mathematics
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Release : 2007
Genre : Mathematics
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Book Rating : 226/5 ( reviews)

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Book Synopsis Singularities in Geometry and Topology by : Jean-Paul Brasselet

Download or read book Singularities in Geometry and Topology written by Jean-Paul Brasselet. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.

Singularities In Geometry And Topology - Proceedings Of The Trieste Singularity Summer School And Workshop

2007-01-16 Mathematics
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Release : 2007-01-16
Genre : Mathematics
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Book Rating : 044/5 ( reviews)

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Book Synopsis Singularities In Geometry And Topology - Proceedings Of The Trieste Singularity Summer School And Workshop by : Jean-paul Brasselet

Download or read book Singularities In Geometry And Topology - Proceedings Of The Trieste Singularity Summer School And Workshop written by Jean-paul Brasselet. This book was released on 2007-01-16. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.

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