arXiv research

The paper characterizes positivity of holomorphic vector bundles via $L^p$-estimates and extensions.

The paper studies $p$-adic limits of class numbers in $\mathbb{Z}_p$-extensions and covers.

We propose an approach to study non-Abelian Iwasawa theory, using the idea of Johnson homomorphisms in low dimensional topology. We introduce arithmetic analogues of Johnson homomorphisms/maps, called the p-Johnson homomorphisms/maps, associated to the Zassenhaus filtration of a pro-p Galois group over a Z_p-extension …

Analogues of Iwasawa invariants in the context of 3-dimensional topology have been studied by M.~Morishita and others. In this paper, following the dictionary of arithmetic topology, we formulate an analogue of Kida's formula on $λ$-invariants in a $p$-extension of $\mathbb{Z}_p$-fields for 3-manifolds. The proof is gi…

The paper extends inequalities for convex bodies to higher dimensions and various norms.

Optimized testing of discrete distributions using predicted data.