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Longer titles found: Diagonal morphism (algebraic geometry) (view)

searching for Diagonal morphism 10 found (16 total)

Cotangent sheaf (891 words) [view diff] exact match in snippet view article find links to article

construct a cotangent sheaf (e.g., Hartshorne, Ch II. § 8) is through a diagonal morphism (which amounts to gluing modules of Kähler differentials on affine

Deligne–Mumford stack (604 words) [view diff] exact match in snippet view article find links to article

algebraic geometry, a Deligne–Mumford stack is a stack F such that the diagonal morphism F → F × F {\displaystyle F\to F\times F} is representable, quasi-compact

Prestack (4,304 words) [view diff] exact match in snippet view article find links to article

For each prestack p : X → C {\displaystyle p:X\to C} , there is the diagonal morphism Δ : X → X × X {\displaystyle \Delta :X\to X\times X} given by x ↦

Monoid (category theory) (511 words) [view diff] exact match in snippet view article

and finite products, every object becomes a comonoid object via the diagonal morphism ΔX : X → X × X. Dually in a category with an initial object and finite

Additive category (1,496 words) [view diff] exact match in snippet view article find links to article

denote the injection morphisms. For each object A, we define: the diagonal morphism ∆: A → A ⊕ A by ∆ = i1 + i2; the codiagonal morphism ∇: A ⊕ A → A

Algebraic space (1,588 words) [view diff] exact match in snippet view article find links to article

étale morphism h X → X {\displaystyle h_{X}\to {\mathfrak {X}}} the diagonal morphism Δ X / S : X → X × X {\displaystyle \Delta _{{\mathfrak {X}}/S}:{\mathfrak

Morphism of schemes (5,020 words) [view diff] exact match in snippet view article find links to article

graph morphism of f. The graph morphism of the identity is called the diagonal morphism. Morphisms of finite type are one of the basic tools for constructing

Derived algebraic geometry (1,810 words) [view diff] exact match in snippet view article find links to article

$n$-stacks". arXiv:alg-geom/9609014. Which can be checked by looking at the diagonal morphism and checking if that itself is representable. Check out https://math

Lifting property (2,651 words) [view diff] exact match in snippet view article find links to article

whenever f {\displaystyle f} and g {\displaystyle g} are as above, the diagonal morphism h {\displaystyle h} exists and is also required to be unique. For

Stack (mathematics) (5,111 words) [view diff] exact match in snippet view article

behind the representability of the diagonal is the following: the diagonal morphism Δ : X → X × X {\displaystyle \Delta :{\mathfrak {X}}\to {\mathfrak