Simple and Semiquasihomogencous Singularities


Abstract in English

Over an algebraically closed field of arbitrary characteristic, the local resolution graphs of the n-dimensional simple singularities (n ≥ ٢) can be described explicitely. This leads to a description as the quasihomogeneous singularities of the corresponding weight type Am, Dm, and Em respectively.

References used

Artin, M “Coverings of the rational double points in characteristic p” complex analysis and algebraic geometry, editors Bialy, W.L. Jr. and Shioda, T., Cambridge (١٩٧٧), ١١-٢٢
Alwadi, y., “Dimension of the cohomolog groups of the canonical resolution of some An – Singularities” Damascus University Journal for the Basicsciences (١٩٩٩).
Barth, W., Peters, C., Vandeven, A. “Compact complex surfaces” springer - Ergebnlsse der Mathematik und ihrer Grenzgebiete, ٣.Folge B one ward band ٤

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