Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves

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Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves

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Author : José Ignacio Cogolludo-Agustín
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves written by José Ignacio Cogolludo-Agustín and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

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

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Author : Jos' Ignacio Cogolludo-Agust-N
language : en
Publisher:
Release Date : 2014-09-11

Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves written by Jos' Ignacio Cogolludo-Agust-N and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Cohomology operations categories.

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

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Author : Jose I. Cogolludo
language : en
Publisher:
Release Date : 1999

Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves written by Jose I. Cogolludo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.

Singularities In Geometry And Topology

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Author : Jean-Paul Brasselet
language : en
Publisher: World Scientific
Release Date : 2007

Singularities In Geometry And Topology written by Jean-Paul Brasselet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

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

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Author : Jean-paul Brasselet
language : en
Publisher: World Scientific
Release Date : 2007-01-16

Singularities In Geometry And Topology Proceedings Of The Trieste Singularity Summer School And Workshop written by Jean-paul Brasselet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-16 with Mathematics categories.

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.

Topological Invariants For Projection Method Patterns

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Author : Alan Forrest
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Topological Invariants For Projection Method Patterns written by Alan Forrest and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

This memoir develops, discusses and compares a range of commutative and non-commutative invariants defined for projection method tilings and point patterns. The projection method refers to patterns, particularly the quasiperiodic patterns, constructed by the projection of a strip of a high dimensional integer lattice to a smaller dimensional Euclidean space. In the first half of the memoir the acceptance domain is very general - any compact set which is the closure of its interior - while in the second half the authors concentrate on the so-called canonical patterns. The topological invariants used are various forms of $K$-theory and cohomology applied to a variety of both $C DEGREES*$-algebras and dynamical systems derived from such a p

Topology Of Algebraic Varieties And Singularities

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Author : José Ignacio Cogolludo-Agustín
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Topology Of Algebraic Varieties And Singularities written by José Ignacio Cogolludo-Agustín and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honour of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain.

The Rational Function Analogue Of A Question Of Schur And Exceptionality Of Permutation Representations

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Author : Robert M. Guralnick
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

The Rational Function Analogue Of A Question Of Schur And Exceptionality Of Permutation Representations written by Robert M. Guralnick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Investigates the analogous question for rational functions. This book describes the Galois theoretic translation, based on Chebotarev's density theorem, leads to a certain property of permutation groups, called exceptionality.

P Adic Analysis Arithmetic And Singularities

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Author : Carlos Galindo
language : en
Publisher: American Mathematical Society
Release Date : 2022-05-11

P Adic Analysis Arithmetic And Singularities written by Carlos Galindo and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-11 with Mathematics categories.

This volume contains the proceedings of the 2019 Lluís A. Santaló Summer School on $p$-Adic Analysis, Arithmetic and Singularities, which was held from June 24–28, 2019, at the Universidad Internacional Menéndez Pelayo, Santander, Spain. The main purpose of the book is to present and analyze different incarnations of the local zeta functions and their multiple connections in mathematics and theoretical physics. Local zeta functions are ubiquitous objects in mathematics and theoretical physics. At the mathematical level, local zeta functions contain geometry and arithmetic information about the set of zeros defined by a finite number of polynomials. In terms of applications in theoretical physics, these functions play a central role in the regularization of Feynman amplitudes and Koba-Nielsen-type string amplitudes, among other applications. This volume provides a gentle introduction to a very active area of research that lies at the intersection of number theory, $p$-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces $p$-adic analysis, the theory of Archimedean, $p$-adic, and motivic zeta functions, singularities of plane curves and their Poincaré series, among other similar topics. It also contains original contributions in the aforementioned areas written by renowned specialists. This book is an important reference for students and experts who want to delve quickly into the area of local zeta functions and their many connections in mathematics and theoretical physics.

On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems

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Author : Pierre Lochak
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems written by Pierre Lochak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.