Results 181 to 190 of about 128,731 (304)

Nonlinear Systems of PDEs Admitting Infinite‐Dimensional Lie Algebras and Their Connection With Ricci Flows. II: The Two‐Dimensional Space Case

open access: yesStudies in Applied Mathematics, Volume 155, Issue 4, October 2025.
ABSTRACT Motivated by previous results in special cases associated with Ricci flows, all possible two‐components evolutions systems of (1+2)‐dimensional second‐order partial differential equations (PDEs) admitting an infinite‐dimensional Lie algebra are constructed. It is shown that a natural generalization of this Lie algebra to the higher‐dimensional
Roman Cherniha, John R. King
wiley   +1 more source

Residually nilpotent groups of homological dimension 1

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3223-3232, October 2025.
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley   +1 more source

A Max-Flow Approach to Random Tensor Networks. [PDF]

open access: yesEntropy (Basel)
Fitter K, Loulidi F, Nechita I.
europepmc   +1 more source

The weak Lefschetz property for artinian Gorenstein algebras

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3211-3222, October 2025.
Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley   +1 more source

A note on local formulae for the parity of Selmer ranks

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.
Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
wiley   +1 more source

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