TY - CHAP A1 - Martin, Bernd T1 - Modular lines for singularities of the T-seris KW - Unimodal Singularities KW - Deformations of singularities KW - Modulatity Y1 - 2007 ER - TY - RPRT A1 - Martin, Bernd A1 - Palamodov, Victor P. T1 - Discrete and modular deformations of singularities, applications Y1 - 2004 PB - BTU, Institut für Mathematik CY - Cottbus ER - TY - JOUR A1 - Martin, Bernd A1 - Hirsch, Tobias T1 - Deformations with section: Cotangent cohomology, flatness and modular subspaces Y1 - 2006 ER - TY - GEN A1 - Martin, Bernd A1 - Süß, Hendrik T1 - Milnor algebras could be isomorphic to modular algebras Y1 - 2009 ER - TY - JOUR A1 - Martin, Bernd A1 - Grassmann, H. A1 - Greuel, G.-M. A1 - Neumann, W. A1 - Pfister, Gerhard A1 - Pohl, W. A1 - Schönemann, H. A1 - Siebert, Thomas T1 - On an implementation of standard bases and syzygies in SINGULAR Y1 - 1996 ER - TY - RPRT A1 - Martin, Bernd A1 - Siebert, Thomas T1 - Splitting algorithm for vector bundles Y1 - 1997 PB - Univ. CY - Kaiserslautern ER - TY - JOUR A1 - Martin, Bernd A1 - Aleksandrov, Aleksandr T1 - Gauss-Manin connection associated with bouquets of curves Y1 - 2003 ER - TY - GEN A1 - Martin, Bernd A1 - Lavandoskyy, Victor T1 - A Symbolic Approach to Generation and Analysis of Finite Difference Schemes of Partial Differential Equations T2 - arXiv.org : (math-ph) KW - Computer Algebra KW - Differential Equation KW - Difference Schemes Y1 - 2010 UR - http://arxiv.org/pdf/1007.4443.pdf ER - TY - GEN A1 - Martin, Bernd A1 - Pochekutov, Dimitry T1 - Discriminant and Singularities of Logarithmic Gauss Map, Examples and Application T2 - Journal of Siberian Federal University, Mathematik & Physics N2 - The study of hypersurfaces in a torus leads to the beautiful zoo of amoebas and their contours, whose possible configurations are seen from combinatorial data. There is a deep connection to the logarithmic Gauss map and its critical points. The theory has a lot of applications in many directions. In this report we recall basic notions and results from the theory of amoebas, show some connection to algebraic singularity theory and discuss some consequences from the well known classification of singularities to this subject. Moreover, we have tried to compute some examples using the computer algebra system SINGULAR and discuss different possibilities and their effectivity to compute the critical points. Here we meet an essential obstacle: Relevant examples need real or even rational solutions, which are found only by chance. We have tried to unify different views to that subject. KW - logarithmic Gauss map, singularities, discriminant, asymptotics, hypersurface amoeba Y1 - 2013 SN - 1997-1397 VL - 6 IS - 1 SP - 74 EP - 85 ER - TY - GEN A1 - Viehweger, Bernd A1 - Schölzke, Thomas A1 - Schierz, Martin T1 - Drücken strukturierter Feinbleche T2 - Bänder, Bleche, Rohre : bbr KW - strukturierte Feinbleche Y1 - 2013 UR - www.bbr.de VL - 54 IS - 6 SP - 122 EP - 123 ER -