Irreducibility of analytic arc-sections of hypersurface singularities
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DOI: 10.1007/s10998-020-00346-x
Abstract: We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of irreducible isolated hypersurface singularities for which no irreducible arc-sections exist, and… read more here.
Keywords: sections hypersurface; hypersurface singularities; analytic arc; arc sections ... See more keywords
Hypersurface singularities in arbitrary characteristic
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.08.020
Abstract: Abstract The study of singularities of algebraic or analytic spaces over the field of complex numbers is a traditional subject, but, in contrast, the parallel theory over arbitrary algebraically closed fields is still poor and… read more here.
Keywords: arbitrary characteristic; hypersurface singularity; hypersurface; hypersurface singularities ... See more keywords