@techreport{MartinPalamodov, author = {Martin, Bernd and Palamodov, Victor P.}, title = {Discrete and modular deformations of singularities, applications}, publisher = {BTU, Institut f{\"u}r Mathematik}, address = {Cottbus}, pages = {30}, language = {en} } @article{MartinHirsch, author = {Martin, Bernd and Hirsch, Tobias}, title = {Deformations with section: Cotangent cohomology, flatness and modular subspaces}, language = {en} } @misc{MartinSuess, author = {Martin, Bernd and S{\"u}ß, Hendrik}, title = {Milnor algebras could be isomorphic to modular algebras}, language = {en} } @article{MartinGrassmannGreueletal., author = {Martin, Bernd and Grassmann, H. and Greuel, G.-M. and Neumann, W. and Pfister, Gerhard and Pohl, W. and Sch{\"o}nemann, H. and Siebert, Thomas}, title = {On an implementation of standard bases and syzygies in SINGULAR}, language = {en} } @techreport{MartinSiebert, author = {Martin, Bernd and Siebert, Thomas}, title = {Splitting algorithm for vector bundles}, publisher = {Univ.}, address = {Kaiserslautern}, pages = {16}, language = {en} } @article{MartinAleksandrov, author = {Martin, Bernd and Aleksandrov, Aleksandr}, title = {Gauss-Manin connection associated with bouquets of curves}, language = {en} } @misc{MartinLavandoskyy, author = {Martin, Bernd and Lavandoskyy, Victor}, title = {A Symbolic Approach to Generation and Analysis of Finite Difference Schemes of Partial Differential Equations}, series = {arXiv.org : (math-ph)}, journal = {arXiv.org : (math-ph)}, pages = {24}, language = {en} } @misc{MartinPochekutov, author = {Martin, Bernd and Pochekutov, Dimitry}, title = {Discriminant and Singularities of Logarithmic Gauss Map, Examples and Application}, series = {Journal of Siberian Federal University, Mathematik \& Physics}, volume = {6}, journal = {Journal of Siberian Federal University, Mathematik \& Physics}, number = {1}, issn = {1997-1397}, pages = {74 -- 85}, abstract = {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.}, language = {en} } @misc{ViehwegerSchoelzkeSchierz, author = {Viehweger, Bernd and Sch{\"o}lzke, Thomas and Schierz, Martin}, title = {Dr{\"u}cken strukturierter Feinbleche}, series = {B{\"a}nder, Bleche, Rohre : bbr}, volume = {54}, journal = {B{\"a}nder, Bleche, Rohre : bbr}, number = {6}, pages = {122 -- 123}, language = {de} } @misc{SteffensBeckerAmkreutzetal., author = {Steffens, S. and Becker, C. and Amkreutz, Daniel and Klossek, Andr{\´e} and Kittler, Martin and Chen, Y.-Y. and Schnegg, Alexander and Klingsporn, Max and Abou-Ras, Daniel and Lips, Klaus and Rech, Bernd}, title = {Impact of Dislocations and Dangling Bond Defects on The Electrical Performance of Crystalline Silicon Thin Films}, series = {Applied Physics Letters}, volume = {105}, journal = {Applied Physics Letters}, number = {2}, issn = {1077-3118}, doi = {10.1063/1.4890625}, pages = {022108}, language = {en} }