morphism in algebraic geometry - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-06-19T21:53:57Z http://mathoverflow.net/feeds/question/49025 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/49025/morphism-in-algebraic-geometry morphism in algebraic geometry yuyu 2010-12-11T06:27:08Z 2010-12-11T06:27:08Z <p>In algebraic geometry, there is a question confuses me: the morphism between two scheme is defined algebraically in terms of morphism of structure sheaf, but how can we show any morphism of structural sheaf corresponding to a (geometrically) morphism between schemes (geometrically means we glue local model and the morphism is defined in terms of polynomial functions)? I didn't see such a proof. Can we do this similarly in differential category?</p>