Proceedings of the American Mathematical Society

A remark on the liftable derivation of moduli algebras of isolated hypersurface singularities

Author(s): Hao Chen
Journal: Proc. Amer. Math. Soc. 125 (1997), 3133-3135.
MSC (1991): Primary 14B05
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Abstract: An example is given to show that not every derivation in the nilradical of the Lie algebra of derivations of moduli algebras can be liftable and the dimension of the nilradical of the Lie algebra of derivations of moduli algebras is not a topological invariant for an isolated hypersurface singularity.

1.: J. Mather and Stephen S-T. Yau, Classification of isolated hypersurface singularities by their moduli algebras, Invent. Math. 69 (1982), 243-251. MR 84c:32007
2.: C. Seeley and Stephen S-T. Yau, Variation of complex structure and variation of Lie algebras, Invent. Math. 99 (1990), 545-565. MR 90k:32067
3.: C. Seeley and Stephen S-T. Yau, Algebraic method in the study of simple elliptic singularities, Proc. of U.S.-U.S.S.R. Algebraic Geometry Symposium, Lecture Notes in Math. 1479 (1991), Springer-Verlag, 216-237. MR 94c:14002
4.: Stephen S-T. Yau, Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities, Math. Zeit. 191 (1986), 489-506. MR 87k:32014
5.: Stephen S-T. Yau, Singularities defined by invariant polynomials and solvability of Lie algebras arising from isolated singularities, Amer. J. Math. 108 (1986), 1215-1240. MR 88d:32022
6.: Stephen S-T. Yau, Solvability of Lie algebras arising from isolated singularities and non-isolatedness of singularities defined by invariant polynomials, Amer. J. Math. 113 (1991), 773-778. MR 92j:32125

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 14B05

Hao Chen
Affiliation: Department of Mathematics, Zhongshan University, Guangzhou, Guangdong 510275, People's Republic of China

DOI: 10.1090/S0002-9939-97-04274-3
PII: S 0002-9939(97)04274-3
Received by editor(s): May 11, 1994
Additional Notes: The author's research was supported by NNSF of China
Communicated by: Eric M. Friedlander
Copyright of article: Copyright 1997, American Mathematical Society

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