projective variety defined by this graded ring is called the canonical model of V, and the dimension of the canonical model is called the Kodaira dimension...

In mathematics, the canonical bundle of a non-singular algebraic variety V {\displaystyle V} of dimension n {\displaystyle n} over a field is the line...

average of its vertices Canonical ring, a graded ring associated to an algebraic variety Canonical injection, in set theory Canonical representative, in set...

by g. If I is an ideal of a ring R, then there is a canonical surjective ring homomorphism from R onto the quotient ring R/I, that sends an element r...

K_{X}^{d}))=\mathbf {P} ^{P_{d}-1},} called the d-canonical map. The canonical ring R(KX) of a variety X is the graded ring R ( K X ) := ⨁ d ≥ 0 H 0 ( X , K X d )...

\end{aligned}}} for all a, b in R. The ring R / I is also called a factor ring. As with a quotient group, there is a canonical homomorphism p : R → R / I, given...

Canonical model may refer to: Canonical model, a design pattern used to communicate between different data formats Canonical ring in mathematics Kripke...

in the minimal model program, given by blowing up along a relative canonical ring. In dimension 3 flips are used to construct minimal models, and any...

correspondence between the ring of modular forms of Γ and the a particular section ring closely related to the canonical ring of a stacky curve. There is...

the canonical ring of X. If the canonical ring is finitely generated, then Proj of the ring is called the canonical model of X. The canonical ring or model...

provides two such notions, canonical equivalence and compatibility. Code point sequences that are defined as canonically equivalent are assumed to have...

Ruled variety Kodaira dimension Canonical ring Minimal model program Intersection theory Intersection number Chow ring Chern class Serre's multiplicity...

multiplicative set in a commutative ring R, and j : R → S − 1 R {\displaystyle j\colon R\to S^{-1}R} be the canonical ring homomorphism. Given an ideal I in...

In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context: In a coordinate...

endomorphisms under the above operations is a canonical example of a near-ring that is not a ring. Endomorphism rings always have additive and multiplicative...

In the practice of Christianity, canonical hours mark the divisions of the day in terms of fixed times of prayer at regular intervals. A book of hours...

pseudepigraphical composite text ascribed to King Solomon but not regarded as canonical scripture by Jews or Christian groups. It was written in the Greek language...

canonical ring of a normal variety X is the section ring of the canonical sheaf. canonical model The canonical model is the Proj of a canonical ring (assuming...

context of graded rings R, the canonical module of a Gorenstein ring R is isomorphic to R with some degree shift. For a Gorenstein local ring (R, m, k) of...

A canonical coronation (Latin: Coronatio Canonica) is a pious institutional act of the pope, duly expressed in a formal decree of a papal bull, in which...

In linear algebra, a Jordan normal form, also known as a Jordan canonical form, is an upper triangular matrix of a particular form called a Jordan matrix...

enumerative geometry. Voight, John; Zureick-Brown, David (2015). The canonical ring of a stacky curve. Memoirs of the American Mathematical Society. arXiv:1501...

inventive, exciting—and totally non-canonical". In Shadow of War, Celebrimbor and Talion successfully forge a new Ring of Power that appears to be free of...

each such pair, we can apply the ring homomorphism φ to the factorization of a+bα, and we can apply the canonical ring homomorphism from Z to Z/nZ to the...

fictional character and a protagonist in J. R. R. Tolkien's The Lord of the Rings. Aragorn is a Ranger of the North, first introduced with the name Strider...

mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set...

Amazon prequel series The Lord of the Rings: The Rings of Power. He first appears disguised as the non-canonical human character Halbrand, and then in...

maps each element to its equivalence class, is called the canonical surjection, or the canonical projection. Every element of an equivalence class characterizes...

Unicode, the unit is encoded as U+212B Å ANGSTROM SIGN. However, it is canonically equivalent to the ordinary letter Å. The duplicate encoding at U+212B...

two rings cannot be aromatic and so will accept the nonstandard form c1ccccc1c2ccccc2.) The Daylight and OpenEye algorithms for generating canonical SMILES...