Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Gabriel Andreas"'
Inspired by recent work of Aslanyan and Daw, we introduce the notion of $\Sigma$-orbits in the general framework of distinguished categories. In the setting of connected Shimura varieties, this concept contains many instances of (generalized) Hecke o
Externí odkaz:
http://arxiv.org/abs/2401.11193
We characterise the integral affine plane curves over a finite field $k$ with the property that all but finitely many of their $\overline{k}$-points have coordinates that are $j$-invariants of elliptic curves with isomorphic endomorphism rings. This
Externí odkaz:
http://arxiv.org/abs/2308.10976
Autor:
Checcoli, Sara, Dill, Gabriel Andreas
Publikováno v:
Bull. Lond. Math. Soc. 56 (2024), no. 11, 3530-3541
In this article, we study a certain Galois property of subextensions of $k(A_{\mathrm{tors}})$, the minimal field of definition of all torsion points of an abelian variety $A$ defined over a number field $k$. Concretely, we show that each subfield of
Externí odkaz:
http://arxiv.org/abs/2306.12138
Autor:
Ahnelt Harald, Konecny Robert, Gabriel Andreas, Bauer Andreas, Pompei Laura, Lorenzoni Massimo, Sattmann Helmut
Publikováno v:
Knowledge and Management of Aquatic Ecosystems, Vol 0, Iss 419, p 34 (2018)
Lernaea cyprinacea is a non host-specific parasitic copepod known to infest many freshwater fish species. Outbreaks of infestations by this ectoparasite may cause mass mortality of parasitized fishes. L. cyprinacea has been found mostly on pelagic sp
Externí odkaz:
https://doaj.org/article/ae38066408de4648a9a79b57c68d4c62
Let $H_D(T)$ denote the Hilbert class polynomial of the imaginary quadratic order of discriminant $D$. We study the rate of growth of the greatest common divisor of $H_D(a)$ and $H_D(b)$ as $|D| \to \infty$ for $a$ and $b$ belonging to various Dedeki
Externí odkaz:
http://arxiv.org/abs/2204.13461
Autor:
Dill, Gabriel Andreas
Let $K$ be a field of characteristic $0$ and let $G$ and $H$ be connected commutative algebraic groups over $K$. Let $\text{Mor}_0(G,H)$ denote the set of morphisms of algebraic varieties $G \to H$ that map the neutral element to the neutral element.
Externí odkaz:
http://arxiv.org/abs/2107.14667
We propose an axiomatic approach towards studying unlikely intersections by introducing the framework of distinguished categories. This includes commutative algebraic groups and mixed Shimura varieties. It allows us to define all basic concepts of th
Externí odkaz:
http://arxiv.org/abs/2103.07422
Autor:
Dill, Gabriel Andreas
Publikováno v:
Research in Number Theory, 7, no. 33 (2021)
We count algebraic numbers of fixed degree $d$ and fixed (absolute multiplicative Weil) height $\mathcal{H}$ with precisely $k$ conjugates that lie inside the open unit disk. We also count the number of values up to $\mathcal{H}$ that the height assu
Externí odkaz:
http://arxiv.org/abs/2012.09085
Autor:
Dill, Gabriel Andreas
Publikováno v:
Compos. Math. 158 (2022), 1020-1051
Investigating a conjecture of Zannier, we study irreducible subvarieties of abelian schemes that dominate the base and contain a Zariski dense set of torsion points that lie on pairwise isogenous fibers. If everything is defined over the algebraic nu
Externí odkaz:
http://arxiv.org/abs/2011.05815
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
Externí odkaz:
http://arxiv.org/abs/1909.01271