Results 131 to 140 of about 91,026 (243)

Random planar trees and the Jacobian conjecture

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping F:Cn→Cn$F\colon \mathbb {C}^n \rightarrow \mathbb {C}^n$ whose Jacobian determinant is a non‐zero constant) has a compositional inverse which is also a polynomial. The Jacobian conjecture may be formulated in
Elia Bisi   +5 more
wiley   +1 more source

Non-associative algebras of cubic matrices and their gauge theories

open access: yesJournal of High Energy Physics
Motivated by M-theory, we define a new type of non-associative algebra involving usual and cubic matrices at the same time. The resulting algebra can be regarded as a two-term truncated L ∞ algebra giving rise to a fundamental identity between the two ...
Ralph Blumenhagen   +2 more
doaj   +1 more source

Algebraic tori in the complement of quartic surfaces

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract Let B⊂P3$B\subset \mathbb {P}^3$ be an slc quartic surface. The existence of an embedding Gm3↪P3∖B$\mathbb {G}_m^3\hookrightarrow \mathbb {P}^3\setminus B$ implies that B$B$ has coregularity zero. In this article, we initiate the classification of coregularity zero semi log canonical (slc) quartic surfaces B⊂P3$B\subset \mathbb {P}^3$ for ...
Eduardo Alves da Silva   +2 more
wiley   +1 more source

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi   +5 more
wiley   +1 more source

Exploring Graph Product Operations Through Eccentricity Connectivity Coindex: A Comprehensive QSPR Analysis of Octane Isomers

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, the first eccentricity connectivity coindex is introduced as ECI¯G=∑uv∉EGε2u+ε2v, in which ε(u) denotes the eccentricity of the vertex u in the simple connected graph G. Then, the exact expressions are obtained for the first eccentricity connectivity coindex of some graph products.
Suha Wazzan   +2 more
wiley   +1 more source

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