resolution of singularity

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• Resolution of singularities — Strong desingularization of Observe that the resolution does not stop after the first blowing up, when the strict transform is smooth, but when it is simple normal crossings with the exceptional divisors. In algebraic geometry, the problem of… …   Wikipedia

• Singularity theory — For other mathematical uses, see Mathematical singularity. For non mathematical uses, see Gravitational singularity. In mathematics, singularity theory is the study of the failure of manifold structure. A loop of string can serve as an example of …   Wikipedia

• Crepant resolution — In algebraic geometry, a crepant resolution of a singularity is a resolution that does not affect the canonical class of the manifold. The term crepant was coined by Miles Reid (1983) by removing the prefix dis from the word discrepant , to… …   Wikipedia

• Rational singularity — In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map :f : Y ightarrow X from a… …   Wikipedia

• Du Bois singularity — In algebraic geometry, Du Bois singularities are singularities of complex varieties studied by Du Bois (1981). Schwede (2007) gave the following characterisation of Du Bois singularities. Suppose that X is a reduced closed subscheme of a smooth… …   Wikipedia

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• Physical paradox — A physical paradox is an apparent contradiction in physical descriptions of the universe. While many physical paradoxes have accepted resolutions, others defy resolution and may indicate flaws in theory. In physics as in all of science,… …   Wikipedia

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