Random triples
| Subject | Object |
|---|---|
| gptkb:Grothendieck's_theorem_on_vector_bundles_on_the_projective_line | Every vector bundle on the projective line over a field splits as a direct sum of line bundles. |
| gptkb:Tate's_theorem_on_the_Galois_cohomology_of_abelian_varieties_over_algebraically_closed_fields | The Galois cohomology groups of abelian varieties over algebraically closed fields vanish in positive degree. |