morphism in algebraic geometry - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-06-19T21:53:57Zhttp://mathoverflow.net/feeds/question/49025http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/49025/morphism-in-algebraic-geometrymorphism in algebraic geometryyuyu2010-12-11T06:27:08Z2010-12-11T06:27:08Z
<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>