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On quadratic Ostrowski extensions of imaginary quadratic fields
In this paper we discuss an analogue of Hilbert’s theorems 105 and 106, i.e. a reinterpretation of Gauss’ “genus theory”, for imaginary quadratic...
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Codazzi Tensor Fields in Reductive Homogeneous Spaces
We extend the results about left-invariant Codazzi tensor fields on Lie groups equipped with left-invariant Riemannian metrics obtained by d’Atri in...
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A Schmidt’s Subspace Theorem for Moving Hyperplane Targets Over Function Fields
The Schmidt subspace theorem has been studied extensively for both cases of fixed and moving targets in projective spaces over number fields and the...
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Faltings Heights of Hyperelliptic Curves over Function Fields
Faltings heights over function fields of complex projective curves are modular invariants of families of curves. The question on minimized Faltings...
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Multiple intersections of space-time anisotropic Gaussian fields
Let X = { X ( t ) ∈ ℝ d , t ∈ℝ N } be a centered space-time anisotropic Gaussian field with indices H = ( H 1 , ⋯, H N ) ∈ (0, 1) N , where the components X i ( i =...
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Magnetic unit vector fields
We show that a unit vector field on an oriented Riemannian manifold is a critical point of the Landau Hall functional if and only if it is a critical...
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Lubin–Tate Formal Modules Over Higher Local Fields
An analog of Lubin–Tate formal groups for higher local fields of characteristic 0 is considered. The modules formed by the roots of the automorphisms...
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Killing Fields on Compact Pseudo-Kähler Manifolds
We show that a Killing field on a compact pseudo-Kähler ddbar manifold is necessarily (real) holomorphic. Our argument works without the ddbar...
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Magnetic Jacobi Fields in Sasakian Space Forms
Typical examples of uniform magnetic fields are Kähler magnetic fields on Kähler manifolds. It is very difficult to study magnetic Jacobi fields of...
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Galois Stratification over Finite Fields
Chapter 34 establishes the Galois stratification procedure over a fixed field K with elimination theory. The outcome is an explicit decision... -
Approximate Synchronization of Multi-Agent Systems over Finite Fields
In this paper, the approximate synchronization of leader-follower multiagent systems (MASs) over finite fields is studied in regard to local and...
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Fields, Division Rings
Using basic properties of finite cyclic groups, we shall prove the following property. -
Partial derivatives of uncertain fields and uncertain partial differential equations
Multivariate uncertain calculus is a branch of mathematics that deals with differentiation and integration of uncertain fields based on uncertainty...
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Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds
A new numerical approximation method for a class of Gaussian random fields on compact connected oriented Riemannian manifolds is introduced. This...
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Evolutionary stable strategies and cubic vector fields
The introduction of concepts of Game Theory and Ordinary Differential Equations into Biology gave birth to the field of Evolutionary Stable...
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The Hilbert–Grunwald specialization property over number fields
Given a finite group G and a number field K , we investigate the following question: Does there exist a Galois extension E/K ( t ) with group G whose set...
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On groups interpretable in various valued fields
We study infinite groups interpretable in three families of valued fields: V -minimal, power bounded T -convex, and p -adically closed fields. We show...
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Common Singularities of Commuting Vector Fields
We study the singularities of commuting vector fields of a real submanifold of a Kähler manifold Z .
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Optimal Transport, Fields Medals and beyond
Welcome to the Springer Math Podcast. This month, we’re delighted to host Alessio Figalli, the Director of the Institute for Mathematical Research at...