Grothendieck's Theorem on the Picard Group states that the Picard group of a proper variety over an algebraically closed field is isomorphic to the group of line bundles modulo isomorphism. This theorem connects the study of line bundles, which are important in understanding divisors and line sheaves, to the more abstract structure of the Picard group, highlighting its role in classifying line bundles up to isomorphism.
congrats on reading the definition of Grothendieck's Theorem on the Picard Group. now let's actually learn it.