Results 41 to 50 of about 3,771 (225)
Inducing Coverings on Hilbert Schemes
Mathematische Nachrichten, EarlyView.ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
wiley +1 more source
2-ADIC INTEGRAL CANONICAL MODELS
Forum of Mathematics, Sigma, 2016 We use Lau’s classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where the level is hyperspecial.
WANSU KIM, KEERTHI MADAPUSI PERA
doaj +1 more source
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Abelian Varieties over Real Closed Fields [PDF]
, 2023 In this paper, we classify the possible group structures on the set of $R$-valued points of an abelian variety, where $R$ is any real closed field. We make use of a family of abelian varieties that, in effect, allows one to quantify over all abelian ...
Lowry, Nathanial
core +1 more source
On the Zilber-Pink conjecture for complex abelian varieties [PDF]
, 2022 In this article, we prove that the Zilber-Pink conjecture for abelian varieties over an arbitrary field of characteristic $0$ is implied by the same statement for abelian varieties over the algebraic numbers. More precisely, the conjecture holds for
Fabrizio Barroero +2 more
core +1 more source
Abelian varieties over finite fields as basic abelian varieties [PDF]
Forum Mathematicum, 2016 Abstract In this note we show that any basic abelian variety with additional structures over an arbitrary algebraically closed field of characteristic p > 0
openaire +3 more sources
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Tropical count of curves on abelian varieties [PDF]
, 2017 We investigate the problem of counting tropical genus g curves ing-dimensional tropical abelian varieties. We do this by studyingmaps from principally polarized tropical abelian varieties into afixed abelian variety.
Halle, Lars Halvard +4 more
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Galois Representations of Abelian Varieties [PDF]
, 2022 The main topic of this thesis is Galois representations of abelian varieties. Following the introduction, there are four largely independent chapters that each make progress around the main topic.
Jacob Joseph Mayle (14073822)
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Free semigroups of large critical exponent
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley +1 more source