Euler systems

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field number theory
https://www.w3.org/2000/01/rdf-schema#label Euler systems
gptkbp:introduced gptkb:Victor_Kolyvagin
gptkbp:namedAfter gptkb:Leonhard_Euler
gptkbp:notableExample gptkb:Heegner_points
Kato's Euler system
Rubin–Stark elements
cyclotomic units
gptkbp:notablePublication Kolyvagin's work on Mordell–Weil groups
Rubin's work on cyclotomic fields
gptkbp:relatedTo modular forms
L-functions
Galois representations
gptkbp:usedFor bounding Selmer groups
proving finiteness of Tate–Shafarevich groups
gptkbp:usedIn gptkb:Iwasawa_theory
arithmetic geometry
gptkbp:bfsParent gptkb:Victor_Kolyvagin
gptkbp:bfsLayer 5