We study for each fixed integer , for all primes and p with , finite regular directed graphs associated with the set of equivalence classes of -marked principally polarized superspecial abelian varieties of dimension g in characteristic p, and show th…
In this paper, we study an analogue of the Bernstein–Gelfand–Gelfand category for truncated current Lie algebras attached to a complex semisimple Lie algebra. This category admits Verma modules and simple modules, each parametrized by the dual space …
We study the Galois module structure of the class groups of the Artin–Schreier extensions K over k of extension degree p, where is the rational function field and p is a prime number. The structure of the p-part of the ideal class group of K as a fin…
Let , , be an isometric immersion of a Kaehler manifold into Euclidean space. Yan and Zheng (2013, Michigan Mathematical Journal 62, 421–441) conjectured that if the codimension is , then, along any connected component of an open dense subset of , the …
This paper focuses on the Cauchy problem for a one-dimensional quasilinear hyperbolic–parabolic coupled system with initial data given on a line of parabolicity. The coupled system is derived from the Poiseuille flow of full Ericksen–Leslie model in th…
An explicit transformation for the series , or equivalently, for Re, which takes y to , is obtained for the first time. This series transforms into a series containing the derivative of , a function studied by Christopher Deninger while obtaining an a…