morphisms between affine schemes are of this type and gluing such morphisms gives a morphism of schemes in general. Now, if X, Y are affine varieties;...

R. Projective morphisms are proper, but not all proper morphisms are projective. For example, there is a smooth proper complex variety of dimension 3...

keep track of morphisms between points (i.e., morphisms between morphisms). A rational map of schemes is defined in the same way for varieties. Thus, a rational...

theory, an algebraic variety over a field is an integral (irreducible and reduced) scheme over that field whose structure morphism is separated and of...

an abelian variety. This association is a duality in the sense that it is contravariant functorial, i.e., it associates to all morphisms f : A → B {\displaystyle...

notable for their color polymorphism and primarily display two color morph varieties ("red-backed" and "lead-backed"), which differ in physiology and anti-predator...

geometry, a complete algebraic variety is an algebraic variety X, such that for any variety Y the projection morphism X × Y → Y {\displaystyle X\times...

stable under base change and composition. A smooth morphism is universally locally acyclic. Smooth morphisms are supposed to geometrically correspond to smooth...

These are the morphisms in the category of affine varieties. There is a one-to-one correspondence between morphisms of affine varieties over an algebraically...

Morph is a fictional superhero appearing in the American animated superhero series X-Men: The Animated Series—which aired on Fox Kids from 1992 to 1997—and...