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In algebraic geometry, given algebraic stacks over a base category C, a morphism of algebraic stacks is a functor such that .
More generally, one can also consider a morphism between prestacks; (a stackification would be an example.)
and 21 Related for: Morphism of algebraic stacks information
In algebraic geometry, given algebraicstacks p : X → C , q : Y → C {\displaystyle p:X\to C,\,q:Y\to C} over a base category C, a morphism f : X → Y {\displaystyle...
specific to algebraicstacks, such as Artin's representability theorem, which is used to construct the moduli space of pointed algebraic curves M g ,...
In algebraic geometry, a morphismof schemes generalizes a morphismofalgebraic varieties just as a scheme generalizes an algebraic variety. It is, by...
In algebraic geometry, a finite morphism between two affine varieties X , Y {\displaystyle X,Y} is a dense regular map which induces isomorphic inclusion...
function A morphism from an algebraic variety to the affine line. representable morphism A morphism F → G {\displaystyle F\to G} ofstacks such that,...
In algebraic geometry, a proper morphism between schemes is an analog of a proper map between complex analytic spaces. Some authors call a proper variety...
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Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
{\displaystyle |X|} is called the moduli space of X. If f : X → Y {\displaystyle f:X\to Y} is a morphismofalgebraicstacks that induces a homeomorphism f : | X...
In mathematics, algebraic spaces form a generalization of the schemes ofalgebraic geometry, introduced by Michael Artin for use in deformation theory...
In algebraic geometry, given a morphism f: X → S of schemes, the cotangent sheaf on X is the sheaf of O X {\displaystyle {\mathcal {O}}_{X}} -modules Ω...
Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local charts...
Quasi-coherent sheaf on an algebraicstack Mumford 1999, Ch. III, § 1, Theorem-Definition 3. Stacks Project, Tag 01LA. Stacks Project, Tag 01BU. Serre 1955...
sending an affine morphism f : Y → X {\displaystyle f:Y\to X} to f ∗ O Y . {\displaystyle f_{*}{\mathcal {O}}_{Y}.} A morphismof schemes f : X → Y {\displaystyle...
a morphism between smooth varieties, then f factors as X → X × Y → Y {\displaystyle X\to X\times Y\to Y} where the first map is the graph morphism and...
classes each determined by a morphism f: X → Ω, the characteristic morphismof that class, which we take to be the subobject of X characterized or named by...
In algebraic geometry, a quasi-coherent sheaf on an algebraicstack X {\displaystyle {\mathfrak {X}}} is a generalization of a quasi-coherent sheaf on...
In algebraic geometry, there are two slightly different definitions of an fpqc morphism, both variations of faithfully flat morphisms. Sometimes an fpqc...
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