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
Quasianalytic Monogenic Solutions of a Cohomological Equation
Language: en
Pages: 98
Authors: Stefano Marmi
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

We prove that the solutions of a cohomological equation of complex dimension one and in the analytic category have a monogenic dependence on the parameter. This
Dynamics of Topologically Generic Homeomorphisms
Language: en
Pages: 146
Authors: Ethan Akin
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The goal of this work is to describe the dynamics of generic homeomorphisms of certain compact metric spaces $X$. Here ``generic'' is used in the topological se
Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis
Language: en
Pages: 114
Authors: J. T. Cox
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amount