We study the gauge-theoretic aspects of real and quaternionic parabolic bundles over a real curve ( X , σ X ) , where X is a compact Riemann surface and σ X is an anti-holomorphic involution. For a fixed real or quaternionic ...

In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spatially periodic functions; we assume full ...

We generalise a classic result of Rees to characterise analytically unramified local rings using Rees algebras of modules.

Let A be a Dedekind domain of characteristic zero such that its localization at every maximal ideal has mixed characteristic with finite residue field. Let R = A[X1,...,Xn] be a polynomial ring and I = (a1U1,...,acUc) ⊆ R ...

We study the projective closures of three important families of affine monomial curves in dimension 4, namely the Backelin curve, the Bresinsky curve and the Arslan curve, in order to explore possible connections between ...

The first part of the paper develops the theory of m-shifted π-typical Witt vectors which can be viewed as subobjects of the usual π-typical Witt vectors. We show that the shifted Witt vectors admit a delta structure that ...

Previously, using the theory of delta characters for Drinfeld modules, one constructed a finite free R -module H ( E ) with a semilinear operator on it, and hence a canonical z -isocrystal H δ ( E ) was attached to any ...

The class of strictly sign regular (SSR) matrices has beenextensively studied by many authors over the past cen-tury, notably by Schoenberg, Motzkin, Gantmacher, andKrein. A classical result of Gantmacher–Krein assuresthe ...

This article studies an extended Nori and local fundamental group schemes of abelian varieties. We also discuss the birational invariance of these group schemes and study their behavior under the Albanese and étale morphisms.