منابع مشابه
Extending DUNE: The dune-xt modules
We present our effort to extend and complement the core modules of the Distributed and Unified Numerics Environment DUNE (http://dune-project.org) by a well tested and structured collection of utilities and concepts. We describe key elements of our four modules dune-xt-common, dune-xt-grid, dune-xt-la and dune-xt-functions, which aim at further enabling the programming of generic algorithms wit...
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We describe algorithmic methods for the Gauss-Manin connection of an isolated hypersurface singularity based on the microlocal structure of the Brieskorn lattice. They lead to algorithms for computing invariants like the monodromy, the spectrum, the spectral pairs, and M. Saito’s matrices A0 and A1. These algorithms use a normal form algorithm for the Brieskorn lattice, standard basis methods f...
متن کاملThe Hypersurface Cross Ratio
Introduction. In my note on A 5 curve theorem generalizing the theorem of Carnot, I introduced the notion of curve cross ratio. This extension of the ordinary cross ratio is the simplest situationally invariant (3.4) case of the generalized or hypersurface cross ratio of n + l pairs of hypersurfaces in w-space which is the subject of the following lines. The generalized cross ratio is a t the s...
متن کاملHierarchical Hypersurface Modeling
We propose a new model for representing a hypersurface describing a scalar field in any dimension at different levels of detail. The model is based on a decomposition of the domain into a hierarchy of simplicial complexes. We present a data structure for encoding such model as well as an algorithm for building a multiresolution representation of a hypersurface based on a decreasing sequence of ...
متن کاملTopology of Hypersurface Singularities
Kähler’s paper Über die Verzweigung einer algebraischen Funktion zweier Veränderlichen in der Umgebung einer singulären Stelle” offered a more perceptual view of the link of a complex plane curve singularity than that provided shortly before by Brauner. Kähler’s innovation of using a “square sphere” became standard in the toolkit of later researchers on singularities. We describe his contributi...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1995
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1727