Flip (mathematics) (nonfiction): Difference between revisions
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In algebraic geometry, flips and flops are codimension-2 surgery operations arising in the minimal model program, given by blowing up along a relative canonical ring. | In algebraic geometry, '''flips''' and '''flops''' are codimension-2 surgery operations arising in the minimal model program, given by blowing up along a relative canonical ring. | ||
In dimension 3 flips are used to construct minimal models, and any two birationally equivalent minimal models are connected by a sequence of flops. It is conjectured that the same is true in higher dimensions. | In dimension 3 flips are used to construct minimal models, and any two birationally equivalent minimal models are connected by a sequence of flops. It is conjectured that the same is true in higher dimensions. | ||
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== Fiction cross-reference == | == Fiction cross-reference == | ||
* [[Crimes against mathematical constants]] | |||
* [[Gnomon algorithm]] | |||
== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
Latest revision as of 08:30, 29 July 2017
In algebraic geometry, flips and flops are codimension-2 surgery operations arising in the minimal model program, given by blowing up along a relative canonical ring.
In dimension 3 flips are used to construct minimal models, and any two birationally equivalent minimal models are connected by a sequence of flops. It is conjectured that the same is true in higher dimensions.
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External links:
- Flip (mathematics) @ Wikipedia