Definition of Plurigenus. Meaning of Plurigenus. Synonyms of Plurigenus

- K^{n})=\operatorname {dim} \ H^{0}(V,K^{n})} is the classically defined n-th plurigenus of V. The pluricanonical divisor K n {\displaystyle K^{n}} , via the corresponding...
- characterized by the vanishing of both the arithmetic genus and the second plurigenus. Zariski found some examples (Zariski surfaces) in characteristic p > 0...
- induces an isomorphism H0(X, KXd) ≅ H0(Y, KYd). For d ≥ 0, define the dth plurigenus Pd as the dimension of the vector space H0(X, KXd); then the plurigenera...
- isomorphic to X outside lower-dimensional subsets. For d ≥ 0, the dth plurigenus of X is defined as the dimension of the vector space of global sections...
- embedding of the Gr****mannian variety into a projective space. plurigenus The n-th plurigenus of a smooth projective variety is dim ⁡ Γ ( X , ω X ⊗ n ) {\displaystyle...
- at the 60 Kirkman points. (Dolgachev 2012, p.124) plurigenus Plural plurigenera The dth plurigenus of a variety is the dimension of the space of sections...
- that any complex surface such that q and P2 (the irregularity and second plurigenus) both vanish is rational. This is used in the Enriques–Kodaira classification...