Purity (algebraic geometry)
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
High Quality Content by WIKIPEDIA articles! In the mathematical field of algebraic geometry, purity is a theme covering a number of results and conjectures, which collectively address the question of proving that "when something happens, it happens in a particular codimension". For example, ramification is a phenomenon of codimension 1 (in the geometry of complex manifolds, reflecting as for Riemann surfaces that ramify at single points that it happens in real codimension two). A classical result, Zariski–Nagata purity of Masayoshi Nagata and Oscar Zariski, called also purity of the branch locus, proves that on a non-singular algebraic variety a branch locus, namely the set of points at which a morphism ramifies, must be made up purely...
ISBN: 978-6-1312-0938-3
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Книга по требованию
Дата выхода: июль 2011