blowing up
in algebraic geometry, a transformation on an algebraic variety or scheme, wherein a closed subvariety is replaced with the space of lines passing through it (in the case of a point, a projective space), commonly used to resolve singularities
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blowing up
Summary
blowing up ranks in the top 2% of general entities by monthly Wikipedia readership (101 views/month).[1]
Key Facts
- blowing up's image is recorded as Blowup.png[2].
- blowing up's Library of Congress authority ID is recorded as sh88000905[3].
- blowing up's subclass of is recorded as morphism of schemes[4].
- blowing up's has use is recorded as resolution of singularities[5].
- blowing up's Freebase ID is recorded as /m/05zbnz[6].
- blowing up's Stack Exchange tag is recorded as https://mathoverflow.net/tags/blow-ups[7].
- blowing up's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/blowup[8].
- blowing up's defining formula is recorded as \operatorname{Bl}{\mathcal I}X = \operatorname{\underline{Proj}}\bigoplus{n=0}^\infty\mathcal I^n[9].
- blowing up's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- blowing up's Microsoft Academic ID is recorded as 2778180344[11].
- blowing up's Microsoft Academic ID is recorded as 2780390204[12].
- blowing up's Encyclopedia of Mathematics article ID is recorded as Blow-up_algebra[13].
- blowing up's National Library of Israel J9U ID is recorded as 987007532039105171[14].
- blowing up's OpenAlex ID is recorded as C2780390204[15].
- blowing up's Yale LUX ID is recorded as concept/631ad1b6-89d4-4438-9100-0ea6c6e9ddb2[16].
Why It Matters
blowing up ranks in the top 2% of general entities by monthly Wikipedia readership (101 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[17] It is known by 18 alternative names across languages and contexts.[18]