Schema/Lokal freie Garben und Vektorbündel/Äquivalenz/en/Fakt
Erscheinungsbild
Let denote a scheme.
Then the category of locally free sheaves on and the category of geometric vector bundles on are equivalent.
A geometric vector bundle corresponds to the sheaf of its sections, and a locally free sheaf corresponds to the (relative) spectrum of the symmetric algebra of the dual module .