Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
algebraic geometry concept
|
| gptkbp:alsoKnownAs |
blowing up
|
| gptkbp:appearsIn |
gptkb:Hartshorne's_Algebraic_Geometry
Shafarevich's Basic Algebraic Geometry |
| gptkbp:built |
Replaces a subvariety with the projectivization of its normal bundle.
|
| gptkbp:category |
morphism of varieties
|
| gptkbp:defines |
A transformation of a variety replacing a subvariety with all directions through that subvariety.
|
| gptkbp:example |
Blowup of a point in the plane
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
quadratic transformation
|
| https://www.w3.org/2000/01/rdf-schema#label |
Blowup (algebraic geometry)
|
| gptkbp:introduced |
gptkb:Oscar_Zariski
|
| gptkbp:inverseOperation |
blowdown
|
| gptkbp:purpose |
to resolve singularities
to study birational geometry |
| gptkbp:relatedTo |
projective variety
singularity resolution exceptional divisor birational map |
| gptkbp:usedIn |
gptkb:minimal_model_program
resolution of singularities |
| gptkbp:bfsParent |
gptkb:Intersection_Theory
|
| gptkbp:bfsLayer |
7
|