LEADER 05048nam 22005055 450 001 9910254305603321 005 20250609110112.0 010 $a3-319-28829-6 024 7 $a10.1007/978-3-319-28829-1 035 $a(CKB)3710000001127292 035 $a(DE-He213)978-3-319-28829-1 035 $a(MiAaPQ)EBC4833057 035 $a(PPN)199768897 035 $a(MiAaPQ)EBC6241823 035 $a(EXLCZ)993710000001127292 100 $a20170329d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSingularities and computer algebra $eFestschrift for Gert-Martin Greuel on the occasion of his 70th birthday /$fedited by Wolfram Decker, Gerhard Pfister, Mathias Schulze 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIV, 389 p. 55 illus., 19 illus. in color.) 311 08$a3-319-28828-8 320 $aIncludes bibliographical references. 327 $aGert-Martin Greuel?s work, Duco van Straten -- Divisor class groups of affine complete intersections, Helmut Hamm -- Rational plane quartics and K3 surfaces, Viktor Kulikov -- Remarks on the Lê?Greuel formula for the Milnor number, José Seade -- Bi-Lipschitz regular complex space are regular, Lê D?ng Tráng -- Enumeration of real algebraic curves, Eugenii Shustin -- A real analytic cell complex for the braid group, Norbert A?Campo -- Old and new regarding the Seiberg?Witten 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, Ngô Vi?t Trung -- Deforming non-normal isolated surface singularities, Jan Stevens -- Vanishing topology of Cohen?Macaulay codimension 2 3-folds, Anne Frühbis-Krüger -- Equisingular moduli of rational surface singularities, Jonathan Wahl -- Algebraic bubbling for vector bundles on surfaces, Günter Trautmann -- Recombination formulas for the spectrum of plane curve singularities, Dmitry Kerner -- Minors and categorical resolutions, Yuri Drozd -- Resolutions of cubical varieties, Joseph Steenbrink -- Hypersurfaces with 1-dimensional singularities, Dirk Siersma -- Higher order Euler characteristics, their generalizations and generating series, Sabir Gusein-Zade -- Torsion free sheaves on degenerate elliptic curves and the classical Yang?Baxter equation, Igor Burban -- Normal lattice polytopes, Winfried Bruns -- Möbius strips, knots, pentagons, polyhedra and the SURFER, Stephan Klaus -- Computational D-module theory and singularities, Viktor Levandovskyy -- Orbifold zeta functions for dual invertible polynomials, Wolfgang Ebeling -- Polarity maps, singular subschemes, and applications, Antonio Campillo -- Parallelisation in Singular, Hans Schönemann -- Milnor number, discriminant and unfolding of isolated singularities in positive characteristic, Duc Nguyen. 330 $aThis 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 Greuel?s 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 Schönemann, 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. 606 $aGeometry, Algebraic 606 $aDifferential equations 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 615 0$aGeometry, Algebraic. 615 0$aDifferential equations. 615 14$aAlgebraic Geometry. 615 24$aOrdinary Differential Equations. 676 $a516.35 702 $aDecker$b W.$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPfister$b Gerhard$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSchulze$b Mathias$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910254305603321 996 $aSingularities and computer algebra$9744502 997 $aUNINA