Singularities and computer algebra / edited by Christoph Lossen & Gerhard Pfister.

Format:

Book

Contributor:

Lossen, Christoph, editor.

Pfister, Gerhard, 1947- editor.

Series:

London Mathematical Society lecture note series ; 324.

London Mathematical Society lecture note series ; 324

Language:

English

Subjects (All):

Geometry, Algebraic.

Singularities (Mathematics).

Physical Description:

1 online resource (xxxvi, 371 pages) : digital, PDF file(s).

Other Title:

Singularities & Computer Algebra

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

Summary:

This volume surveys important topics in singularity theory, with a particular focus on computational aspects of the subject. The contributors to this volume include R. O. Buchweitz, Y. A. Drozd, W. Ebeling, H. A. Hamm, Le D. T., I. Luengo, F.-O. Schreyer, E. Shustin, J. H. M. Steenbrink, D. van Straten, B. Teissier and J. Wahl. Together they describe the development of various areas of singularity theory over many years, and a range of open questions are discussed. Research workers in singularity theory, computer algebra or related subjects will find that this book contains a wealth of valuable information.

Contents:

Aspects of Gert-Martin Greuel's mathematical work / Christoph Lossen and Gerhard Pfister

Exterior algebra methods for the construction of rational surfaces in the projective fourspace / Hirotachi Abo and Frank-Olaf Schreyer

Superisolated surface singularities / Enrique Artal Bartolo, Ignacio Luengo, and Alejandro Melle Hernández

Linear free divisors and quiver representations / Ragnar-Olaf Buchweitz and David Mond

Derived categories of modules and coherent sheaves / Yuriy A. Drozd

Monodrony / Wolfgang Ebeling

Algorithmic resolution of singularities / Anne Frḧbis-Krüger and Gerhard Pfister

Newton polyhedra of discriminants : a computation / Evelia García Barroso and Bernard Teissier

Depth and differential forms / Helmut A. Hamm

The geometry of the versal deformation / Lê Dũng Tráng

21 years of SINGULAR experiments in mathematics / Christoph Lossen and Hans Schönemann

The patchworking construction in tropical enumerative geometry / Eugenii Shustin

Adjunction conditions for one-forms on surfaces in projective three-space / Joseph H.M. Steenbrink

Sextic surfaces with ten triple points / Jan Stevens

Some problems on Lagrangian singularities / Duco van Straten

Topology, geometry, and equations of normal surface singularities / Jonathan Wahl.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-139-88258-9

1-107-36776-X

1-107-37230-5

1-107-36285-7

1-107-36986-X

1-299-40536-3

1-107-36530-9

0-511-89406-6

0-511-52637-7