On Rees algebras and invariants for singularities over perfect fields

Mathematics – Commutative Algebra

Scientific paper

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41 pages

Scientific paper

This purpose of this paper is to show how Rees algebras can be applied in the study of singularities embedded in smooth schemes over perfect fields. In particular, we will study situations in which the multiplicity of a hypersurface is a multiple of the characteristic. As another application, here we show how the use of these algebras trivializes local-global questions in resolution of singularities.

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