2002•arXiv (Cornell University)Open access

Continuous Invariants of Isolated Hypersurface Singularities

Michael G. Eastwood

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Abstract

Mather and Yau showed that an isolated complex hypersurface singularity is completely determined by its moduli algebra. It is shown, for the simple elliptic singularities, how to construct continuous invariants from the moduli algebras and, hence, associate invariants to the singularities themselves.

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Mather and Yau showed that an isolated complex hypersurface singularity is completely determined by its moduli algebra. It is shown, for the simple elliptic singularities, how to construct continuous invariants from the moduli algebras and, hence, associate invariants to the singularities themselves.

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Available abstract

Mather and Yau showed that an isolated complex hypersurface singularity is completely determined by its moduli algebra. It is shown, for the simple elliptic singularities, how to construct continuous invariants from the moduli algebras and, hence, associate invariants to the singularities themselves.

Key concepts: Hypersurface, Gravitational singularity, Moduli, Singularity, Pure mathematics, Mathematics, Simple (philosophy), Algebra over a field

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