object of arithmetic geometry
C59704
concept
An object of arithmetic geometry is a mathematical structure, such as a scheme or variety, studied simultaneously with its geometric properties and its arithmetic behavior over number-theoretic base rings or fields.
Observed surface forms (2)
| Surface form | Occurrences |
|---|---|
| theory in arithmetic geometry | 3 |
| generalization of elliptic curves | 1 |
Instances (5)
| Instance | Via concept surface |
|---|---|
| Arakelov theory | theory in arithmetic geometry |
| Shimura varieties | — |
| Drinfeld modules | generalization of elliptic curves |
| Tate’s non-archimedean uniformization of elliptic curves | theory in arithmetic geometry |
| Bruhat–Tits theory | theory in arithmetic geometry |