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  2. Birational geometry - Wikipedia

    en.wikipedia.org/wiki/Birational_geometry

    A birational map from X to Y is a rational map f : X ⇢ Y such that there is a rational map Y ⇢ X inverse to f. A birational map induces an isomorphism from a nonempty open subset of X to a nonempty open subset of Y, and vice versa: an isomorphism between nonempty open subsets of X, Y by definition gives a birational map f : X ⇢ Y. In this ...

  3. Rational mapping - Wikipedia

    en.wikipedia.org/wiki/Rational_mapping

    Formally, a rational map: between two varieties is an equivalence class of pairs (,) in which is a morphism of varieties from a non-empty open set to , and two such pairs (,) and (′ ′, ′) are considered equivalent if and ′ ′ coincide on the intersection ′ (this is, in particular, vacuously true if the intersection is empty, but since is assumed irreducible, this is impossible).

  4. List of chaotic maps - Wikipedia

    en.wikipedia.org/wiki/List_of_chaotic_maps

    In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functions. Chaotic maps often occur in the study of dynamical systems.

  5. Morphism of algebraic varieties - Wikipedia

    en.wikipedia.org/wiki/Morphism_of_algebraic...

    The composition of regular maps is again regular; thus, algebraic varieties form the category of algebraic varieties where the morphisms are the regular maps. Regular maps between affine varieties correspond contravariantly in one-to-one to algebra homomorphisms between the coordinate rings: if f : X → Y is a morphism of affine varieties ...

  6. Birational map - Wikipedia

    en.wikipedia.org/?title=Birational_map&redirect=no

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  7. Linear system of divisors - Wikipedia

    en.wikipedia.org/wiki/Linear_system_of_divisors

    A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles.. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of curves; the dimension of the linear system corresponds to the number of parameters of the family.

  8. Critical Role: Tal'Dorei Campaign Setting - Wikipedia

    en.wikipedia.org/wiki/Critical_Role:_Tal'Dorei...

    Critical Role is an American web series in which a group of professional voice actors play Dungeons & Dragons with Mercer as the Dungeon Master and creator of the world Exandria. [2] A number of licensed works based on the show have been created, such as the Critical Role: Tal'Dorei Campaign Setting and Critical Role: Vox Machina Origins .

  9. Oriental Adventures - Wikipedia

    en.wikipedia.org/wiki/Oriental_Adventures

    Oriental Adventures also introduced a new game mechanic to Dungeons & Dragons; it was the first official supplement to include rules for non-weapon proficiencies. [6] Every character is expected to possess proficiencies in the noncombat arts with skills such as calligraphy, etiquette, animal handling, iaijutsu (fast draw), and bowyer. [3]