These notes reproduce the content of a short, 50-minutes, survey talk given at the Nice University in September 2004. We added a few topics that have not been touched on in the lecture by lack of time.
ISBN:
(纸本)354033274X
These notes reproduce the content of a short, 50-minutes, survey talk given at the Nice University in September 2004. We added a few topics that have not been touched on in the lecture by lack of time.
We show how the presence of singularities affects the geometry of complex projective hypersurfaces and of their complements. We illustrate the general principles and the main results by a lot of explicit examples invo...
ISBN:
(纸本)354033274X
We show how the presence of singularities affects the geometry of complex projective hypersurfaces and of their complements. We illustrate the general principles and the main results by a lot of explicit examples involving curves and surfaces.
Knorrer and Miller classified the real projective cubic surfaces in P 3 (R) with respect to their topological type. For each of their 45 types containing only rational double points we give an affine equation, s.t. no...
详细信息
ISBN:
(纸本)354033274X
Knorrer and Miller classified the real projective cubic surfaces in P 3 (R) with respect to their topological type. For each of their 45 types containing only rational double points we give an affine equation, s.t. none of the singularities and none of the lines are at infinity. These equations were found using classical methods together with our new visualization tool SURFEX. This tool also enables us to give one image for each of the topological types showing all the singularities and lines.
Parametrized surfaces of low degrees are very useful in applications, especially in Computer Aided Geometric Design and Geometric Modeling. The precise description of their geometry is not easy in general. Here we stu...
详细信息
ISBN:
(纸本)354033274X
Parametrized surfaces of low degrees are very useful in applications, especially in Computer Aided Geometric Design and Geometric Modeling. The precise description of their geometry is not easy in general. Here we study some of the corresponding projective complex surfaces of low implicit degree (i.e., smaller than 12). We show that, generically up to linear changes of coordinates, they are classified by a few number of continuous parameters (called moduli). We present normal forms and provide compact implicit equations for these surfaces and for their singular locus together with a geometric interpretation.
yFiles is a Java-based library for the visualization and automatic layout of graph structures. Included features are data structures, graph algorithms, diverse layout and labeling algorithms and a graph viewer component.
ISBN:
(纸本)3540008810
yFiles is a Java-based library for the visualization and automatic layout of graph structures. Included features are data structures, graph algorithms, diverse layout and labeling algorithms and a graph viewer component.
Pajek (spider, in Slovene) is a program package, for Windows (32 bit), for analysis and visualization of large networks (having thousands of vertices). It is freely available, for noncommercial use, at its home page: ...
ISBN:
(纸本)3540008810
Pajek (spider, in Slovene) is a program package, for Windows (32 bit), for analysis and visualization of large networks (having thousands of vertices). It is freely available, for noncommercial use, at its home page: http://***/pub/networks/pajek/
暂无评论