Serre's multiplicity conjectures
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
local rings
intersection multiplicity modules over local rings |
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Serre's multiplicity conjectures
|
| gptkbp:influenced |
homological algebra
intersection theory |
| gptkbp:notableAchievement |
positivity of intersection multiplicity
vanishing of intersection multiplicity under certain conditions |
| gptkbp:proposedBy |
gptkb:Jean-Pierre_Serre
|
| gptkbp:relatedTo |
gptkb:Serre's_Tor_formula
intersection theory algebraic cycles |
| gptkbp:status |
partially proven
|
| gptkbp:yearProposed |
1950s
|
| gptkbp:bfsParent |
gptkb:Jean-Marc_Serre
|
| gptkbp:bfsLayer |
8
|