Results 71 to 80 of about 16,887 (181)

Regulous vector bundles

, 2017
Among recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry.
Atiyah, Benedetti, Bochnak, Bochnak, Bochnak, Bochnak, Bochnak, Fichou, Hironaka, Huisman, Huisman, Husemoller, Kollár, Kollár, Kollár, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kurdyka, Kurdyka, Marinari, Nowak, Parusiński, Serre, Swan, Swan, Zhang, Zieliński   +34 more
core   +1 more source

Canonical forms of oriented matroids

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley   +1 more source

Plane curves and their fundamental groups: Generalizations of Uludag's construction

, 2002
In this paper we investigate Uludag's method for constructing new curves whose fundamental groups are central extensions of the fundamental group of the original curve by finite cyclic groups.
Artal Bartolo, Artal-Bartolo, Chisini, David Garber, Degtyarev, Fujita, Garber, Milnor, Moishezon, Nagata, Namba, Oka, Oka, Rotman, Schafer, Shimada, Shimada, Zaĭdenberg   +17 more
core   +6 more sources

Compactifications of strata of differentials

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley   +1 more source

The universal tropicalization and the Berkovich analytification [PDF]

, 2016
Given an integral scheme X over a non-archimedean valued field k, we construct a universal closed embedding of X into a k-scheme equipped with a model over the field with one element (a generalization of a toric variety).
Giansiracusa, Jeffrey, Giansiracusa, Noah   +1 more
core  

A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

TOPOLOGY SPECTRUM OF A KU-ALGEBRA

Journal of New Theory, 2015
–The aim of this paper is to study the Zariski topology of a commutative KU-algebra. Firstly, we introduce new concepts of a KU-algebra, such as KU-lattice, involutory ideal and prime ideal and investigate some basic properties of these concepts ...
Samy Mohammed Mostafa, Abdelaziz Elazab Radwan, Fayza Abelhalim Ibrahem, Fatema Faisal Kareem   +3 more
doaj  

Local–global principles for semi‐integral points on Markoff orbifold pairs

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study local–global principles for semi‐integral points on orbifold pairs of Markoff type. In particular, we analyse when these orbifold pairs satisfy weak weak approximation, weak approximation and strong approximation off a finite set of places.
Vladimir Mitankin, Justin Uhlemann
wiley   +1 more source

Graded pseudo weakly prime spectrum of graded topological modules

Applied General Topology
In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski
Tamem Al-Shorman, Malik Bataineh, Melis Bolat, Bayram Ali Ersoy   +3 more
doaj   +1 more source