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

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

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.

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.