Cohomologie Galoisienne
E253118
Cohomologie Galoisienne is a foundational monograph by Jean-Pierre Serre that systematically develops Galois cohomology and its deep applications in number theory and algebraic geometry.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Cohomologie Galoisienne canonical | 1 |
| Cohomology of Number Fields | 1 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
monograph ⓘ |
| appliesTo |
algebraic varieties
ⓘ
local fields ⓘ number fields ⓘ |
| author | Jean-Pierre Serre ⓘ |
| field |
algebra
ⓘ
algebraic geometry ⓘ number theory ⓘ |
| focusesOn | systematic development of Galois cohomology ⓘ |
| hasAbbreviation | CG ⓘ |
| hasAuthor | Jean-Pierre Serre ⓘ |
| hasReputation | foundational work on Galois cohomology ⓘ |
| influenced |
arithmetic geometry
ⓘ
modern number theory ⓘ theory of motives ⓘ |
| language | French ⓘ |
| mainSubject | Galois cohomology ⓘ |
| mathematicalArea |
algebraic number theory
ⓘ
arithmetic algebraic geometry ⓘ |
| originalLanguage | French ⓘ |
| publisher | Springer ⓘ |
| relatedTo |
Grothendieck’s cohomological methods
ⓘ
Serre duality in arithmetic contexts ⓘ étale cohomology ⓘ |
| series | Lecture Notes in Mathematics ⓘ |
| topic |
Brauer group
ⓘ
Galois group ⓘ
surface form:
Galois groups
Galois modules ⓘ Galois representations ⓘ Hilbert symbol ⓘ Kummer theory ⓘ Poitou–Tate duality ⓘ Tate cohomology ⓘ Shafarevich group of a torus ⓘ
surface form:
Tate–Shafarevich group
Weil group ⓘ class field theory ⓘ cohomological dimension ⓘ cohomology of local fields ⓘ cohomology of number fields ⓘ cohomology of profinite groups ⓘ continuous cochains ⓘ global class field theory ⓘ global fields ⓘ group cohomology ⓘ local class field theory ⓘ local fields ⓘ |
| usedAs |
graduate textbook
ⓘ
research reference ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Cohomology of Number Fields