Results 11 to 20 of about 510 (96)

UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC

Forum of Mathematics, Sigma, 2018
We present a heuristic argument based on Honda–Tate theory against many conjectures in ‘unlikely intersections’ over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian ...
ANANTH N. SHANKAR, JACOB TSIMERMAN
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Holonomic modules and 1-generation in the Jacobian Conjecture

Comptes Rendus. Mathématique
Let $P_n$ be a polynomial algebra in $n$ indeterminates over a field $K$ of characteristic zero. An endomorphism $\sigma \in \mathrm{End}_K(P_n)$ is called a Jacobian map if its Jacobian is a nonzero scalar.
Bavula, Volodymyr V.
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A new qualitative proof of a result on the real jacobian conjecture

Anais da Academia Brasileira de Ciências, 2015
Let F= (f, g) : R2 → R2be a polynomial map such that det DF(x) is different from zero for all x∈ R2. We assume that the degrees of fand gare equal. We denote by the homogeneous part of higher degree of f and g, respectively.
FRANCISCO BRAUN, JAUME LLIBRE
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Some Classes of Harmonic Mapping with a Symmetric Conjecture Point Defined by Subordination

Mathematics, 2019
In the paper, we introduce some subclasses of harmonic mapping, the analytic part of which is related to general starlike (or convex) functions with a symmetric conjecture point defined by subordination.
Lina Ma, Shuhai Li, Xiaomeng Niu
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The Pinchuk example revisited

Comptes Rendus. Mathématique
In this note we provide two special counterexamples to the strong real Jacobian Conjecture; the first one is surjective, the second one has non-dense image.
Fernandes, Filipe, Jelonek, Zbigniew
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THE JACOBIAN CONJECTURE IS TRUE

Journal of New Theory, 2017
– We are talking about famous the Jacobian conjecture. Let f and g be polynomials dependent from two variables over the field K zero characteristics, f(x,y),g(x,y)∈K[x,y]
Kerimbayev Rashid Konyrbayevich
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Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$

Forum of Mathematics, Sigma
We develop the theory and algorithms necessary to be able to verify the strong Birch–Swinnerton-Dyer Conjecture for absolutely simple modular abelian varieties over ${\mathbf {Q}}$ . We apply our methods to all 28 Atkin–Lehner quotients of $X_0(
Timo Keller, Michael Stoll
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New classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2

Anais da Academia Brasileira de Ciências
: We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ 2. The first class is formed by the polynomials maps of the form (q(x)–p(y), q(y)+p(x)) : R 2 ⟶ R 2 such that p and q are real polynomials satisfying p'
JACKSON ITIKAWA, JAUME LLIBRE
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The phase portrait of the Hamiltonian system associated to a Pinchuk map

Anais da Academia Brasileira de Ciências
In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions ...
JOAN CARLES ARTÉS, FRANCISCO BRAUN, JAUME LLIBRE   +2 more
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Melnikov Method for a Class of Generalized Ziegler Pendulums

Mathematics
The Melnikov method is applied to a class of generalized Ziegler pendulums. We find an analytical form for the separatrix of the system in terms of Jacobian elliptic integrals, holding for a large class of initial conditions and parameters. By working in
Stefano Disca, Vincenzo Coscia
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