paramodularとは 意味・読み方・使い方

形容詞

paramodular (not comparable)

1. (mathematics) Pertaining to a pair (a, b) of set functions where a is supermodular, b is submodular, and they always satisfy the cross-inequality b(X) - a(Y) > b(X-Y) -a(Y-X) for all X, Y.
   • 2015, Armand Brumer, Kenneth Kramer, “Certain Abelian varieties bad at only one prime”, in arXiv^[1]:

     We give criteria under which the isogeny class of ${\\displaystyle A}$ is determined by ${\\displaystyle F}$ and thereby obtain new evidence towards our paramodular conjecture.