Construct · 1 fields · 1 citations

resolution of singularities: a standalone construct

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Algebraic geometry

every algebraic variety over a field of characteristic zero can be turned into a smooth one by a sequence of blowups.

In algebraic geometry, resolution of singularities refers to every algebraic variety over a field of characteristic zero can be turned into a smooth one by a sequence of blowups. This meaning comes from Hironaka (1964) in The Annals of Mathematics.[1]

Unit
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Nearby constructs

field3 fields · 5 citationsjingle · one word, three constructs resolution3 fields · 3 citationsjingle · one word, three constructs sequence3 fields · 3 citationsjingle · one word, three constructs

References

Hironaka, H. (1964). Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I. The Annals of Mathematics, 79(1), 109. https://doi.org/10.2307/1970486

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