Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical invariant
|
| gptkbp:appliesTo |
gptkb:algebraic_geometry
Algebraic curve |
| gptkbp:definedIn |
h^1(O_X) for a projective variety X
|
| gptkbp:equivalentTo |
0 for rational varieties
g for smooth projective curves of genus g |
| gptkbp:field |
gptkb:Algebraic_geometry
|
| gptkbp:hasInvariant |
gptkb:Projective_variety
|
| gptkbp:heldBy |
Birational invariant
|
| https://www.w3.org/2000/01/rdf-schema#label |
Arithmetic genus
|
| gptkbp:introduced |
gptkb:David_Hilbert
|
| gptkbp:notation |
p_a
|
| gptkbp:relatedTo |
gptkb:Euler_characteristic
gptkb:Geometric_genus |
| gptkbp:usedIn |
Classification of algebraic surfaces
|
| gptkbp:bfsParent |
gptkb:Algebraic_Curves
|
| gptkbp:bfsLayer |
7
|