Obstructions and hypersurface sections (minimally elliptic singularities)

Authors:
Kurt Behnke and Jan Arthur Christophersen

Journal:
Trans. Amer. Math. Soc. **335** (1993), 175-193

MSC:
Primary 14J17; Secondary 14B07

DOI:
https://doi.org/10.1090/S0002-9947-1993-1069742-2

MathSciNet review:
1069742

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Abstract | References | Similar Articles | Additional Information

Abstract: We study the obstruction space for minimally elliptic surface singularities. We apply the main lemma of our previous paper [3] which relates to deformations of hypersurface sections. To use this we classify general hypersurface sections of minimally elliptic singularities. As in the rational singularity case there is a simple formula for the minimal number of generators for as a module over the local ring. This number is in many cases (e.g. for cusps of Hilbert modular surfaces) equal to the vector space dimension of .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1993-1069742-2

Keywords:
Deformations of singularities,
obstructions,
hypersurface section,
minimally elliptic singularities,
degeneration of the tangent cone

Article copyright:
© Copyright 1993
American Mathematical Society