pluricanonical

English

Etymology

pluri- +‎ canonical

Adjective

pluricanonical (not comparable)

1. (mathematics) multicanonical
   • 2015, Yoshinori Hashimoto, “Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor”, in arXiv‎^[1]:

     Our main result is that, on the projective completion $\mathbb {P} ({\mathcal {F}}\oplus \mathbb {C} )$ of a pluricanonical line bundle ${\mathcal {F}}$} over a product of K\"ahler--Einstein Fano manifolds with the second Betti number 1, momentum-constructed constant scalar curvature K\"ahler metrics with cone singularities along the $\infty$-section exist if and only if the log Futaki invariant vanishes on the fibrewise $\mathbb {C} ^{*}$-action, giving a supporting evidence to the log version of the Donaldson--Tian--Yau conjecture for general polarisations.