Results 21 to 30 of about 55,047 (231)
Centrally essential endomorphism rings of abelian groups [PDF]
Communications in Algebra, 2019 We study Abelian groups A with centrally essential endomorphism ring If A is a such group which is either a torsion group or a non-reduced group, then the ring is commutative.
O. Lyubimtsev, A. Tuganbaev
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Semi-group structure of all endomorphisms of a projective variety admitting a polarized endomorphism [PDF]
, 2018 Let $X$ be a projective variety admitting a polarized (or more generally, int-amplified) endomorphism. We show: there are only finitely many contractible extremal rays; and when $X$ is $\mathbb{Q}$-factorial normal, every minimal model program is ...
Sheng Meng, De-Qi Zhang
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Numerical computation of endomorphism rings of Jacobians [PDF]
The Open Book Series, 2018 We give practical numerical methods to compute the period matrix of a plane algebraic curve (not necessarily smooth). We show how automorphisms and isomorphisms of such curves, as well as the decomposition of their Jacobians up to isogeny, can be ...
Nils Bruin +2 more
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A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms
Annales Mathematicae Silesianae, 2022 Let S be a semigroup, and let φ, ψ: S → S be two endomorphisms (which are not necessarily involutive). Our main goal in this paper is to solve the following generalized variant of d’Alembert’s functional equation f(xϕ(y))+f(ψ(y)x)=2f(x)f(y), x,y ∈ S,
Akkaoui Ahmed +2 more
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On endomorphisms of hypersurfaces [PDF]
Kodai Mathematical Journal, 2017 For any prime $p\ge 5$, we show that generic hypersurface $X_p\subset\mathbb{P}^p$ defined over $\mathbb{Q}$ admits a non-trivial rational dominant self-map of degree $>1$, defined over $\bar{\mathbb{Q}}$. A simple arithmetic application of this fact is also given.
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The Baer–Kaplansky Theorem for all abelian groups and modules
Bulletin of Mathematical Sciences, 2022 It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
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Mass endomorphism, surgery and perturbations [PDF]
, 2014 We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors ...
Ammann, Bernd +3 more
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Illinois Journal of Mathematics, 2000 \textit{M. Shub} and \textit{D. Sullivan} [Ergodic Theory Dyn. Syst. 5, 285-289 (1985; Zbl 0583.58022)] raised the problem of finding a complete set of invariants for (measure-theoretic) isomorphism in the class of analytic expanding Lebesgue-preserving circle endomorphisms.
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Building blocks of amplified endomorphisms of normal projective varieties [PDF]
, 2020 Let $X$ be a normal projective variety. A surjective endomorphism $f:X\to X$ is int-amplified if $f^\ast L - L =H$ for some ample Cartier divisors $L$ and $H$. This is a generalization of the so-called polarized endomorphism which requires that $f^*H\sim
Meng, S.
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Computing the geometric endomorphism ring of a genus-2 Jacobian [PDF]
Mathematics of Computation, 2016 We describe an algorithm, based on the properties of the characteristic polynomials of Frobenius, to compute $\operatorname{End}_{\overline{K}}(A)$ when $A$ is the Jacobian of a nice genus-2 curve over a number field $K$. We use this algorithm to confirm
D. Lombardo
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