On the Jung method in positive characteristic
Copyright policy )On the Jung method in positive characteristic
Let X ¯ be a germ of normal surface with local ring R ¯ covering a germ of regular surface X with local ring R of characteristic p > 0 . Given an extension of valuation rings W / V birationally dominating R ¯ / R , we study the existence of a new such pair of local rings R ¯ ' / R ' birationally dominating R ¯ / R , such that R ' is regular and R ¯ ' has only toric singularities. This is achieved when W / V is defectless or when [ W : V ] is equal to p
coverings, resolution of singularities, Formal power series rings, Valuations and their generalizations for commutative rings, Ramification problems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, valuations
coverings, resolution of singularities, Formal power series rings, Valuations and their generalizations for commutative rings, Ramification problems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, valuations
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