Topological Invariants of the Complement to Arrangements of Rational Plane Curves

Topological Invariants of the Complement to Arrangements of Rational Plane Curves
Author :
Publisher : American Mathematical Soc.
Total Pages : 97
Release :
ISBN-10 : 9780821829424
ISBN-13 : 0821829424
Rating : 4/5 (424 Downloads)

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 and published by American Mathematical Soc.. This book was released on 2002 with total page 97 pages. 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).


Topological Invariants of the Complement to Arrangements of Rational Plane Curves Related Books

Topological Invariants of the Complement to Arrangements of Rational Plane Curves
Language: en
Pages: 97
Authors: José Ignacio Cogolludo-Agustín
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors analyse two topological invariants of an embedding of an arrangement of rational plane curves in the projective complex plane, namely, the cohomolog
Topological Invariants of the Complement to Arrangements of Rational Plane Curves
Language: en
Pages: 75
Authors: Jos' Ignacio Cogolludo-Agust-N
Categories: Cohomology operations
Type: BOOK - Published: 2014-09-11 - Publisher:

DOWNLOAD EBOOK

Preliminaries Ring structure of $H^\bullet(\mathbb{P}^2\backslash \mathcal{R}; \mathbb{C})$ Generalized Aomoto complexes Characteristic varieties, local systems
Singularities In Geometry And Topology - Proceedings Of The Trieste Singularity Summer School And Workshop
Language: en
Pages: 917
Authors: Jean-paul Brasselet
Categories: Mathematics
Type: BOOK - Published: 2007-01-16 - Publisher: World Scientific

DOWNLOAD EBOOK

Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolvin
Singularities in Geometry and Topology
Language: en
Pages: 917
Authors: Jean-Paul Brasselet
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: World Scientific

DOWNLOAD EBOOK

Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolvin
Topological Invariants for Projection Method Patterns
Language: en
Pages: 137
Authors: Alan Forrest
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This memoir develops, discusses and compares a range of commutative and non-commutative invariants defined for projection method tilings and point patterns. The