Serre's theorem on GAGA

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo projective complex varieties
gptkbp:author gptkb:Jean-Pierre_Serre
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Serre's theorem on GAGA
gptkbp:implies algebraic and analytic vector bundles are equivalent on projective complex varieties
gptkbp:influenced modern algebraic geometry
gptkbp:language gptkb:French
gptkbp:publicationYear 1956
gptkbp:publishedIn gptkb:Géométrie_Algébrique_et_Géométrie_Analytique_(GAGA)
gptkbp:relatedConcept gptkb:algebraic_geometry
gptkb:Serre's_GAGA_principle
cohomology
coherent sheaf
analytic space
gptkbp:sentence Isomorphism between algebraic and analytic cohomology for coherent sheaves on projective complex varieties
Equivalence of coherent algebraic sheaves and coherent analytic sheaves on projective complex varieties
gptkbp:bfsParent gptkb:Serre's_theorem
gptkbp:bfsLayer 5