Wiman bound
E904005
The Wiman bound is a classical result in algebraic geometry that gives an upper limit on the size of the automorphism group of certain algebraic curves, refining the general Hurwitz bound in specific cases.
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical theorem
ⓘ
result in algebraic geometry ⓘ |
| appliesTo |
algebraic curves
ⓘ
compact Riemann surfaces ⓘ |
| characteristicOf | classical results in the theory of Riemann surfaces ⓘ |
| comparesWith | Hurwitz automorphism bound NERFINISHED ⓘ |
| concerns | order of automorphism groups ⓘ |
| context |
complex projective algebraic curves
ⓘ
curves of genus at least 2 ⓘ |
| field |
algebraic geometry
ⓘ
theory of algebraic curves ⓘ |
| gives | upper bound on the order of the automorphism group of certain algebraic curves ⓘ |
| hasType | upper bound ⓘ |
| isPartOf | theory of automorphisms of curves ⓘ |
| mathematicianAssociated | Anders Wiman NERFINISHED ⓘ |
| namedAfter | Anders Wiman NERFINISHED ⓘ |
| refines | Hurwitz bound NERFINISHED ⓘ |
| relatedTo |
Hurwitz curves
NERFINISHED
ⓘ
finite group actions on curves ⓘ maximal symmetry curves ⓘ |
| topic |
automorphism groups of algebraic curves
ⓘ
finite groups of automorphisms of Riemann surfaces ⓘ |
| usedIn |
classification of highly symmetric algebraic curves
ⓘ
complex analysis on Riemann surfaces ⓘ study of maximal automorphism groups of curves ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.