• 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...
    4 KB (464 words) - 18:26, 21 May 2023
  • 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...
    16 KB (2,529 words) - 19:58, 22 July 2024
  • average of its vertices Canonical ring, a graded ring associated to an algebraic variety Canonical injection, in set theory Canonical representative, in set...
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  • 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 )...
    20 KB (2,402 words) - 02:25, 9 June 2024
  • \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...
    99 KB (13,682 words) - 13:44, 13 August 2024
  • 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...
    9 KB (1,229 words) - 01:49, 17 August 2023
  • Canonical model may refer to: Canonical model, a design pattern used to communicate between different data formats Canonical ring in mathematics Kripke...
    334 bytes (67 words) - 03:14, 22 September 2023
  • 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...
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  • Thumbnail for Projective variety
    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...
    45 KB (7,530 words) - 18:38, 11 December 2022
  • 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...
    8 KB (1,061 words) - 08:45, 8 May 2021