Higher composition laws I–IV
E537777
Higher composition laws I–IV is a landmark four-part series of papers by Manjul Bhargava that generalizes Gauss’s composition of binary quadratic forms and develops new structures and methods in algebraic number theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Higher composition laws I–IV canonical | 1 |
Statements (34)
| Predicate | Object |
|---|---|
| instanceOf |
series of mathematical research papers
ⓘ
work in algebraic number theory ⓘ |
| aimsTo | extend Gauss’s composition to higher degree settings ⓘ |
| author | Manjul Bhargava NERFINISHED ⓘ |
| contributesTo |
classification of rings of small rank
ⓘ
explicit arithmetic parametrizations ⓘ |
| describedAs | landmark series in algebraic number theory ⓘ |
| field |
algebraic number theory
ⓘ
arithmetic invariant theory ⓘ |
| focusesOn | explicit parametrizations of rings and fields by orbits of forms ⓘ |
| generalizes | Gauss’s composition of binary quadratic forms ⓘ |
| hasNotableAuthor | Manjul Bhargava NERFINISHED ⓘ |
| influenced |
modern arithmetic statistics
ⓘ
subsequent work on parametrizations of number fields ⓘ |
| language | English ⓘ |
| numberOfParts | 4 ⓘ |
| part |
Higher composition laws I
NERFINISHED
ⓘ
Higher composition laws II NERFINISHED ⓘ Higher composition laws III ⓘ Higher composition laws IV NERFINISHED ⓘ |
| publishedIn | Annals of Mathematics NERFINISHED ⓘ |
| relatesTo |
binary cubic forms
ⓘ
binary quartic forms ⓘ higher degree composition laws NERFINISHED ⓘ pairs of quadratic forms ⓘ |
| topic |
composition laws for forms
ⓘ
discriminant-preserving composition laws ⓘ higher degree analogues of binary quadratic forms ⓘ orbits of coregular representations ⓘ parametrization of algebraic number rings ⓘ rings of small rank over the integers ⓘ |
| usesMethod |
geometry of numbers
ⓘ
invariant theory ⓘ representation theory ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.