Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:action |
raises coordinates to the p-th power
|
| gptkbp:appearsIn |
algebraic number theory
algebraic geometry textbooks |
| gptkbp:appliesTo |
schemes over fields of positive characteristic
|
| gptkbp:category |
morphism of schemes
|
| gptkbp:defines |
endomorphism of a scheme over a field of characteristic p > 0
|
| gptkbp:field |
gptkb:algebra
gptkb:algebraic_geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius morphism
|
| gptkbp:importantFor |
central in the study of varieties over finite fields
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
|
| gptkbp:property |
not always a homeomorphism
not always an isomorphism |
| gptkbp:relatedTo |
gptkb:Frobenius_endomorphism
gptkb:Frobenius_map |
| gptkbp:type |
ring homomorphism
|
| gptkbp:usedIn |
gptkb:Weil_conjectures
gptkb:étale_cohomology Galois representations |
| gptkbp:bfsParent |
gptkb:Hasse–Weil_zeta_function
|
| gptkbp:bfsLayer |
5
|