This book arose from a conference on Singularities and Computer Algebra which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuels 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra.
Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Sch?nemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists.
The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.
Gert-Martin Greuels work, Duco van Straten.- Divisor class groups of affine complete intersections, Helmut Hamm.- Rational plane quartics and K3 surfaces, Viktor Kulikov.- Remarks on the L?Greuel formula for the Milnor number, Jos? Seade.- Bi-Lipschitz regular complex space are regular, L? Ding Tr?ng.- Enumeration of real algebraic curves, Eugenii Shustin.- A real analytic cell complex for the braid group, Norbert ACampo.- Old and new regarding the SeibergWitten invariant conjecture, Andras Nemethi.- Multiplication by f in the Jacobian algebra as bindings in the spectrum of a hypersurface with an isolated singularity, Xavier Gomez-Mont.- Marked singularities, their moduli spaces, and atlases of stokes data, Claus Hertling.- Depth and regularity of powers of sums of ideals, NglJ
![Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday [Paperback]](/itemImage/2/5/9/9/2_5332199.jpg "Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday [Paperback]")