Definition of Anticanonical. Meaning of Anticanonical. Synonyms of Anticanonical

- canonical divisor. An anticanonical divisor is any divisor − K {\displaystyle K} with K {\displaystyle K} canonical. The anticanonical bundle is the corresponding...
- other words a non-singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general...
- still tractable. Formally, a Fano variety is a complete variety X whose anticanonical bundle KX* is ample. In this definition, one could ****ume that X is...
- Fano varieties. By definition, a projective variety X is Fano if the anticanonical bundle K X ∗ {\displaystyle K_{X}^{*}} is ample. Fano varieties can...
- let H {\displaystyle H} be a height function which is relative to the anticanonical divisor and ****ume that V ( K ) {\displaystyle V(K)} is Zariski dense...
- general elephant is an idiosyncratic name for a general element of the anticanonical system of a variety, introduced by Miles Reid. For 3-folds the general...
- smooth Fano varieties and the smoothness of a general element in the anticanonical linear system of any such variety. Shokurov solved both of these problems...
- projective spaces prime examples of Fano varieties, equivalently, their anticanonical line bundle is ample (in fact very ample). Their index (cf. Fano varieties)...
- {\displaystyle E_{6}} lattice arises as the orthogonal complement to the anticanonical class − K X {\displaystyle -K_{X}} in the Picard group Pic ⁡ ( X ) ≅...
- that dim ⁡ Y < dim ⁡ X ′ , {\displaystyle \dim Y<\dim X',} with the anticanonical class − K F {\displaystyle -K_{F}} of a general fibre F {\displaystyle...