Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
local rings
modules over local rings |
| gptkbp:describes |
intersection multiplicity
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Serre's Tor formula
|
| gptkbp:involves |
gptkb:Tor_functor
|
| gptkbp:namedAfter |
gptkb:Jean-Pierre_Serre
|
| gptkbp:publishedIn |
1950s
|
| gptkbp:sentence |
The intersection multiplicity of two modules over a regular local ring is given by the alternating sum of the lengths of their Tor modules.
|
| gptkbp:bfsParent |
gptkb:Intersection_Theory
|
| gptkbp:bfsLayer |
7
|