Maximal multihomogeneity of algebraic hypersurface singularities
نویسندگان
چکیده
منابع مشابه
Maximal multihomogeneity of algebraic hypersurface singularities
From the degree zero part of the logarithmic vector fields along an algebraic hypersurface singularity we identify the maximal multihomogeneity of a defining equation in form of a maximal algebraic torus in the embedded automorphism group. We show that all such maximal tori are conjugate and in one–to–one correspondence to maximal tori in the linear jet of the embedded automorphism group. These...
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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...
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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: manuscripta mathematica
سال: 2007
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-007-0104-4