algebraic K-theory of fields
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
fields in abstract algebra
|
| gptkbp:concerns |
K_0, K_1, K_2, ... groups
|
| gptkbp:developedBy |
gptkb:John_Milnor
gptkb:Daniel_Quillen |
| gptkbp:hasApplication |
class field theory
algebraic cycles motives |
| https://www.w3.org/2000/01/rdf-schema#label |
algebraic K-theory of fields
|
| gptkbp:notableAchievement |
gptkb:Bloch–Kato_conjecture
gptkb:Merkurjev–Suslin_theorem gptkb:Bass–Tate_theorem |
| gptkbp:relatedTo |
gptkb:Milnor_K-theory
gptkb:Quillen_K-theory |
| gptkbp:studies |
algebraic K-groups of fields
relations between field invariants and K-groups |
| gptkbp:usedFor |
gptkb:Galois_cohomology
motivic cohomology studying quadratic forms |
| gptkbp:usedIn |
gptkb:algebraic_geometry
number theory |
| gptkbp:bfsParent |
gptkb:Algebraic_K-theory_of_rings
gptkb:Quillen's_higher_K-theory |
| gptkbp:bfsLayer |
6
|