On nearly absolutely isolated hypersurface singularities of dimension $2$
نویسندگان
چکیده
منابع مشابه
On hypersurface quotient singularities of dimension 4
We consider geometrical problems on Gorenstein hypersurface orbifolds of dimension n ≥ 4 through the theory of Hilbert scheme of group orbits.
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It was shown by J.N. Mather and S.S.-T. Yau that an isolated complex hypersurface singularity is completely determined by its moduli algebra. In this article 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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Let (9,+1 be the ring of germs of holomorphic functions (C ~+ 1, 0 ) ~ C. There are many important equivalence relations that have been defined on the elements of (9+ 1. ~ ' , ~s and ~f-equivalence are well known in function theory. Each of these equivalence relations can be defined in terms of a Lie group action on (9 +1For instance two functions are defined to be ~-equivalent if they are the ...
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We consider geometrical problems on Gorenstein hypersurface orbifolds of dimension n ≥ 4 through the theory of Hilbert scheme of group orbits.
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is a finite-dimensional algebra depending only on the germ of V at the origin and is invariant under holomorphic change of coördinates. Remarkably, it was shown by Mather and Yau [4] that A completely determines the germ of V . Thus, one should be able to distinguish between biholomorphically inequivalent singularities on the basis of their corresponding moduli algebras. This was accomplished f...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1986
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1986-0848867-x