Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
Abstract We study the equivariant Kuznetsov component KuG(X)$\mathrm{Ku}_G(X)$ of a general cubic fourfold X$X$ with a symplectic involution. We show that KuG(X)$\mathrm{Ku}_G(X)$ is equivalent to the derived category Db(S)$D^b(S)$ of a K3$K3$ surface S$S$, where S$S$ is given as a component of the fixed locus of the induced symplectic action on the ...
Laure Flapan, Sarah Frei, Lisa Marquand
wiley +1 more source
Complex soliton wave patterns of Gross-Pitaevskii systems: application in quantum and optical engineering. [PDF]
Bilal M +5 more
europepmc +1 more source
Hypergeometric motives from Euler integral representations
Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
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An optimized substitution box generator based on cubic pell curves and its application in image encryption. [PDF]
Khan MAM, Azam NA, Kamarulhaili H.
europepmc +1 more source
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source
Propagation of solitary waves for hydrodynamical nonlinear complex model in a fractional derivative setting. [PDF]
Bilal M +6 more
europepmc +1 more source
Jordan homomorphisms and T‐ideals
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley +1 more source
Phase plane analysis and novel soliton solutions for the space-time fractional Boussinesq equation using two robust techniques. [PDF]
Younas T, Ahmad J.
europepmc +1 more source
On Multilevel Energy‐Based Fragmentation Methods
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker +2 more
wiley +1 more source
Exploring novel solitary wave phenomena in Klein-Gordon equation using ϕ 6 model expansion method. [PDF]
Madani YA +5 more
europepmc +1 more source

