Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Morphism of algebraic stacks
open-in-new
<p>In <a href="/facts/Algebraic_geometry/rh7RHVp3">algebraic geometry</a>, given <a href="/facts/Algebraic_stack/flrtwvwU">algebraic stacks</a> p : X → C , q : Y → C {\displaystyle p:X\to C,\,q:Y\to C} over a base <a href="/facts/Category_(mathematics)/7WzxUThf">category</a> <i>C</i>, a morphism f : X → Y {\displaystyle f:X\to Y} of algebraic stacks is a <a href="/facts/Functor/l2u3rIBE">functor</a> such that q ∘ f = p {\displaystyle q\circ f=p} . </p><p>More generally, one can also consider a morphism between <a href="/facts/Prestack/2byjNpEA">prestacks</a> (a stackification would be an example). </p>