Results 141 to 150 of about 683 (232)

Rational points on even‐dimensional Fermat cubics

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Global well‐posedness and large‐time behavior for non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley   +1 more source

Geometric Algebra and Singularities arising in Differential Line Geometry (Local and global study of singularity theory of differentiable maps)

open access: yesGeometric Algebra and Singularities arising in Differential Line Geometry (Local and global study of singularity theory of differentiable maps)
This is a digest report of [12, 13]; we give an elementary characterization of local diffeomorphic types of singular ruled/developable surfaces in mathbb{R}^{3} and their bifurcations by using dual quaternions and mathcal{A}-classification theory of map-germs. Maps and manifolds are of class C^{infty} throughout.
openaire  

Local multiplicativity of perverse filtrations

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley   +1 more source

Context‐free graphs and their transition groups

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli   +3 more
wiley   +1 more source

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