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Published in 2019 at "Periodica Mathematica Hungarica"
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…
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Keywords:
sections hypersurface;
hypersurface singularities;
analytic arc;
arc sections ... See more keywords
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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…
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Keywords:
arbitrary characteristic;
hypersurface singularity;
hypersurface;
hypersurface singularities ... See more keywords