Singularities and Computer Algebra


Author: Christoph Lossen,Gerhard Pfister
Publisher: Cambridge University Press
ISBN: 9780521683098
Category: Computers
Page: 371
View: 1690
DOWNLOAD NOW »
A collection of articles giving overviews and open questions in singularities and their computational aspects.

Singularities in Geometry, Topology, Foliations and Dynamics

A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014
Author: José Luis Cisneros-Molina,Dũng Tráng Lê,Mutsuo Oka,Jawad Snoussi
Publisher: Birkhäuser
ISBN: 3319393391
Category: Mathematics
Page: 231
View: 6753
DOWNLOAD NOW »
This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings. Singularity theory is at the crossroad of various branches of mathematics and science in general. In recent years there have been remarkable developments, both in the theory itself and in its relations with other areas. The contributions in this volume originate from the “Workshop on Singularities in Geometry, Topology, Foliations and Dynamics”, held in Merida, Mexico, in December 2014, in celebration of José Seade’s 60th Birthday. It is intended for researchers and graduate students interested in singularity theory and its impact on other fields.

Zeta Functions in Algebra and Geometry

Second International Workshop, May 3-7, 2010, Universitat de Les Illes Balears, Palma de Mallorca, Spain
Author: Antonio Campillo
Publisher: American Mathematical Soc.
ISBN: 0821869000
Category: Algebraic varieties
Page: 344
View: 6955
DOWNLOAD NOW »
The volume contains the proceedings of the ``Second International Workshop on Zeta Functions in Algebra and Geometry'' held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. Zeta functions can be naturally attached to several mathematical objects, including fields, groups, and algebras. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincare series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions. This book is published in cooperation with Real Sociedad Matematica Espanola (RSME).

Real and Complex Singularities


Author: M. Manoel,M. C. Romero Fuster,C. T. C. Wall
Publisher: Cambridge University Press
ISBN: 1139489917
Category: Mathematics
Page: N.A
View: 6988
DOWNLOAD NOW »
The biennial meetings at São Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to a wide variety of topics in both pure and applied mathematics. The tenth meeting, celebrating the 60th birthdays of Terence Gaffney and Maria Aparecida Soares Ruas, was a special occasion attracting the best known names in the area. This volume contains contributions by the attendees, including three articles written or co-authored by Gaffney himself, and survey articles on the existence of Milnor fibrations, global classifications and graphs, pairs of foliations on surfaces, and Gaffney's work on equisingularity.

A Study of Singularities on Rational Curves Via Syzygies


Author: David A. Cox,Andrew R. Kustin,Claudia Polini,Bernd Ulrich
Publisher: American Mathematical Soc.
ISBN: 0821887432
Category: Mathematics
Page: 116
View: 6818
DOWNLOAD NOW »
Consider a rational projective curve $\mathcal{C}$ of degree $d$ over an algebraically closed field $\pmb k$. There are $n$ homogeneous forms $g_{1},\dots, g_{n}$ of degree $d$ in $B=\pmb k[x, y]$ which parameterize $\mathcal{C}$ in a birational, base point free, manner. The authors study the singularities of $\mathcal{C}$ by studying a Hilbert-Burch matrix $\varphi$ for the row vector $[g_{1},\dots, g_{n}]$. In the ``General Lemma'' the authors use the generalized row ideals of $\varphi$ to identify the singular points on $\mathcal{C}$, their multiplicities, the number of branches at each singular point, and the multiplicity of each branch. Let $p$ be a singular point on the parameterized planar curve $\mathcal{C}$ which corresponds to a generalized zero of $\varphi$. In the `'triple Lemma'' the authors give a matrix $\varphi'$ whose maximal minors parameterize the closure, in $\mathbb{P}^{2}$, of the blow-up at $p$ of $\mathcal{C}$ in a neighborhood of $p$. The authors apply the General Lemma to $\varphi'$ in order to learn about the singularities of $\mathcal{C}$ in the first neighborhood of $p$. If $\mathcal{C}$ has even degree $d=2c$ and the multiplicity of $\mathcal{C}$ at $p$ is equal to $c$, then he applies the Triple Lemma again to learn about the singularities of $\mathcal{C}$ in the second neighborhood of $p$. Consider rational plane curves $\mathcal{C}$ of even degree $d=2c$. The authors classify curves according to the configuration of multiplicity $c$ singularities on or infinitely near $\mathcal{C}$. There are $7$ possible configurations of such singularities. They classify the Hilbert-Burch matrix which corresponds to each configuration. The study of multiplicity $c$ singularities on, or infinitely near, a fixed rational plane curve $\mathcal{C}$ of degree $2c$ is equivalent to the study of the scheme of generalized zeros of the fixed balanced Hilbert-Burch matrix $\varphi$ for a parameterization of $\mathcal{C}$.

The British National Bibliography


Author: Arthur James Wells
Publisher: N.A
ISBN: N.A
Category: English literature
Page: N.A
View: 8172
DOWNLOAD NOW »


Computer Algebra and Differential Equations


Author: Evelyne Tournier
Publisher: Cambridge University Press
ISBN: 9780521447577
Category: Mathematics
Page: 259
View: 6900
DOWNLOAD NOW »
Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.

London Mathematical Society lecture note series


Author: Boris I. Botvinnik
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 8554
DOWNLOAD NOW »


Singularity Theory

Proceedings of the European Singularities Conference, August 1996, Liverpool and Dedicated to C.T.C. Wall on the Occasion of His 60th Birthday
Author: Charles Terence Clegg Wall,D. Mond
Publisher: Cambridge University Press
ISBN: 9780521658881
Category: Computers
Page: 440
View: 7720
DOWNLOAD NOW »
An up-to-date survey of research in singularity theory.

London Mathematical Society lecture note series


Author: Michael Sh Braverman
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 1899
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Manfred Stoll
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 3608
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Akihiko Yukie
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 872
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Olaf Manz,Thomas R. Wolf
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 3579
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: William J. Harvey,C. MacLachlan
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 6767
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Alain Grigis,Johannes Sjöstrand
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 4195
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Jiří Adámek (Ing.)
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 530
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Dietmar Salamon
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 2899
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Mark Pollicott
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 5883
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: Graham A. Niblo,Martin A. Roller
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 559
DOWNLOAD NOW »


London Mathematical Society lecture note series


Author: E. Tournier
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 1915
DOWNLOAD NOW »