Results 41 to 50 of about 83,796 (148)

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Poincaré compactification for n-dimensional piecewise polynomial vector fields : Theory and applications

Poincaré compactification is very important to investigate the dynamics of vector fields in the neighborhood of the infinity, which is the main concern on the escape of particles to infinity in celestial mechanics, astrophysics, astronomy and some ...
Llibre, Jaume, Li, Shimin, Tong, Qian
core   +1 more source

Global dynamics of respiratory process in a class of bacterial culture

Journal of Biological Dynamics
The global dynamic behavior of the respiration process in bacterial culture at different concentrations was comprehensively described using the qualitative theory of differential equations and symbolic calculation software.
Jiazhou Wu, Fabao Gao
doaj   +1 more source

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

WDVV‐based recursion for open Gromov–Witten invariants

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley   +1 more source

Poincaré inequalities and hitting times [PDF]

, 2013
International audienceEquivalence of the spectral gap, exponential integrability of hitting times and Lyapunov conditions are well known. We give here the correspondance (with quantitative results) for reversible diffusion processes. As a consequence, we
Zitt, Pierre André, Zitt, Pierre-André, Cattiaux, Patrick, Guillin, Arnaud   +3 more
core   +1 more source

Poincaré : philosophe et géomètre [PDF]

, 2010
http://images.math.cnrs.fr/Poincare-philosophe-et-geometre.htmlInternational audienceL’auteur se propose de justifier la thèse selon laquelle Henri Poincaré était non pas seulement un scientifique, mais également un philosophe de première importance.
Heinzmann, Gerhard
core   +2 more sources

FTheoryTools: Advancing Computational Capabilities for F‐Theory Research

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner   +2 more
wiley   +1 more source

Henri Poincaré electrons to special relativity: translation of selected papers and discussion

, 2020
Produced by an award-winning translator of Henri Poincaré, this book contains translations of several seminal articles by Poincaré and discusses the experimental and theoretical investigations of electrons that form their context. In the 1950s, a dispute
Poincaré, Henri, Popp, Bruce D
core   +1 more source