Tannakian duality and Gauss-Manin connections for a family of curves
arXiv:2603.03758v1 Announce Type: new Abstract: Let $X/S$ be a smooth family of smooth projective varieties, where $S$ is a smooth affine curve over a field...
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arXiv:2603.03758v1 Announce Type: new Abstract: Let $X/S$ be a smooth family of smooth projective varieties, where $S$ is a smooth affine curve over a field...
arXiv:2603.03763v1 Announce Type: new Abstract: The kernel smoothing with large bandwidth values causes oversmoothing or underfitting in general. However, when irrelevant variables are included, the...
arXiv:2603.03766v1 Announce Type: new Abstract: Let $Y_{1|1}$ be the Yangian associated to the general linear Lie superalgebra $\mathfrak{gl}_{1|1}$, defined over an algebraically closed field $\mathbbm{k}$...
arXiv:2603.03774v1 Announce Type: new Abstract: In this paper, we introduced some notions on the n-Normed Spaces. Those are bounded k-linear (or multilinear) functionals and k-continuous...
arXiv:2603.03775v1 Announce Type: new Abstract: Exploiting the special features of four-dimensional Riemannian Geometry, we derive topological and rigidity results for hypersurfaces immersed in space forms...
arXiv:2603.03786v1 Announce Type: new Abstract: In this paper, we consider a dynamical system on the Riemann sphere that evolves through a set-valued map, namely a...
arXiv:2603.03787v1 Announce Type: new Abstract: We consider a class of two-stage nonconvex nonsmooth stochastic conic program, where the objective functions in both stages can contain...
arXiv:2603.03793v1 Announce Type: new Abstract: We construct linear codes over the finite field Fq from arbitrary simplicial complexes, establishing a connection between topological properties and...
arXiv:2603.03794v1 Announce Type: new Abstract: We study the Equi-Baire one property families of M\"obius transformations on the Riemann sphere. For a loxodromic map $f$, we...
arXiv:2603.03802v1 Announce Type: new Abstract: Design of antenna structures for Internet of Things (IoT) applications is a challenging problem. Contemporary radiators are often subject to...
arXiv:2603.03810v1 Announce Type: new Abstract: Development of modern antennas is a cognitive process that intertwines experience-driven determination of topology and tuning of its parameters to...
arXiv:2603.03817v1 Announce Type: new Abstract: We introduce linearly decomposable (LD) generalized pairs, which serve as a workable substitute for rational decompositions in the non-NQC setting....
arXiv:2603.03822v1 Announce Type: new Abstract: We introduce a class of algebras over a field $\mathbb{F}$ related to directed graphs in which all edges are labeled...
arXiv:2603.03829v1 Announce Type: new Abstract: We calculate the genus zero cobordism-valued Gromov-Witten invariants of a point by refining the string equation on $\overline{\mathcal{M}}_{0,n}$ from the...
arXiv:2603.03833v1 Announce Type: new Abstract: The stability of non-isolated equilibria to quasilinear parabolic problems of the form $u' = A(u)u + f(u)$ is established in...
arXiv:2603.03841v1 Announce Type: new Abstract: Error-correcting codes are a method for representing data, so that one can recover the original information even if some parts...
arXiv:2603.03845v1 Announce Type: new Abstract: We present a computational framework to investigate steady state distributions and perform stability analysis for random ordinary differential equations driven...
arXiv:2603.03847v1 Announce Type: new Abstract: The $hp$ local discontinuous Galerkin (LDG) method proposed by Castillo et al. [Math. Comp.,~71 (238): 455-478, 2002] has been shown...
arXiv:2603.03850v1 Announce Type: new Abstract: We conduct a topological-numerical analysis of global dynamics in a discrete-time two-gene Andrecut-Kauffman model. This model describes gene expression regulation...
arXiv:2603.03858v1 Announce Type: new Abstract: We prove that modules over an Artinian Gorenstein local ring $R$ have rational Poincar\'e series sharing a common denominator if...
arXiv:2603.03859v1 Announce Type: new Abstract: In accordance with the Cameron-Goethals-Seidel-Shult Classification Theorem, we extend the characterization of Hoffman colorability of line graphs from (Abiad, Bosma,...
arXiv:2603.03861v1 Announce Type: new Abstract: We provide asymptotics for the number of faces of a certain family of Hanner polytopes. As a corollary, we come...
arXiv:2603.03863v1 Announce Type: new Abstract: For a cardinal $\kappa$, denote by $\mathbf{H}^\kappa$ the algebraic real hyperbolic space of dimension $\kappa$. For a topological group $\Gamma$,...
arXiv:2603.03868v1 Announce Type: new Abstract: We study the Klein-Gordon equation in one spatial and one temporal dimension. Physically, this equation describes the wave function of...