Infinitesimal deformations of generalized cusp singularities
The paper is organized in three sections. In section 1 the author constructs a normal isolated singularity (V,p) having the property that \(V\setminus \{p\}\) is isomorphic to a quotient of a Siegel domain of the second kind. The author calls this singularity a ``cusp''. In section 2 he considers a singularity (V,p) which satisfied some additional condition in the sense of Thuchihashi. He shows that there exist isomorphisms \(T^ 1_ V \cong H^ 1(V\setminus \{p\},\theta_ V)\) and \(H^ 1(U,\theta_ U(-\log X)) \cong H^ 1(V\setminus \{p\},\theta_ V)\) for some resolution (U,X) of a ``cusp'' singularity (V,p) of a dimension greater than two. Section 3 contains the proofs. The paper is well written and contains complete bibliographic data on these results.
infinitesimal deformations of cusp singularities
scientific article; zbMATH DE number 4023697
scientific article