Securing consensus in fractional-order multi-agent systems: Algebraic approaches against Byzantine attacks. [PDF]
Zhong Y+6 more
europepmc +1 more source
Locally constant fibrations and positivity of curvature
Abstract Up to finite étale cover, any smooth complex projective variety X$X$ with nef anti‐canonical bundle is a holomorphic fibre bundle over a smooth projective variety with trivial canonical class (K‐trivial variety for short) with locally constant transition functions. We show that this result is optimal by proving that any projective fibre bundle
Niklas Müller
wiley +1 more source
"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]
Plotnitsky A.
europepmc +1 more source
The homological spectrum via definable subcategories
Abstract We develop an alternative approach to the homological spectrum of a tensor‐triangulated category through the lens of definable subcategories. This culminates in a proof that the homological spectrum is homeomorphic to a quotient of the Ziegler spectrum.
Isaac Bird, Jordan Williamson
wiley +1 more source
Computing degree based topological indices of algebraic hypergraphs. [PDF]
Alali AS+4 more
europepmc +1 more source
A comparison of Hochschild homology in algebraic and smooth settings
Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley +1 more source
Generalised killing spinors on three-dimensional Lie groups. [PDF]
Artacho D.
europepmc +1 more source
Relative cubulation of relative strict hyperbolization
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley +1 more source
Investigating the Neighborhood Degree Based Topological Indices of Certain Isomeric Natural Polymers. [PDF]
Asghar A, Rafaqat M.
europepmc +1 more source
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker+2 more
wiley +1 more source