Results 91 to 100 of about 3,771 (225)
On P-adic Uniformization Of Abelian Varieties [PDF]
This thesis focuses on exploring a new p-adic uniformization of abelian varieties with semistable reduction, called conjugate uniformization. While the case of good reduction has been previously addressed by Iovita–Morrow–Zaharescu through Fontaine ...
NGUYEN, DANG KHAI HOAN
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Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$
Forum of Mathematics, SigmaWe 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 $X_0(
Timo Keller, Michael Stoll
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Multiplicatively dependent integer vectors on a hyperplane
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed affine hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.
Muhammad Afifurrahman +2 more
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Correspondences to abelian varieties I
Duke Mathematical Journal, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On some integral properties of dimensions in Isaacs fusion categories
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
wiley +1 more source
Algebraic Cycles in Families of Abelian Varieties [PDF]
, 1994 If the Hodge *-operator on the L2-cohomology of Kuga fiber varieties is algebraic, then the Hodge conjecture is true for all abelian varieties.
Salman Abdulali
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Abelian Varieties as Automorphism Groups of Smooth Projective Varieties [PDF]
, 2018 We determine which complex abelian varieties can be realized as the automorphism group of a smooth projective variety.
Davide Lombardo, Andrea Maffei
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Quaternionic Darmon points on abelian varieties [PDF]
, 2016 vigni@dima.unige.it In the first part ofthe paper we prove formulasfor the p-Adic logarithm of quaternionic Darmon points on modular abelian varieties over Q with toric reduction at p.
Longo, Matteo, VIGNI, STEFANO
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 We study the property of continuous Castelnuovo-Mumford regularity, for semihomogeneous vector bundles over a given Abelian variety, which was formulated in A. Küronya and Y. Mustopa [Adv. Geom. 20 (2020), no. 3, 401-412].
Nathan Grieve
doaj
Super-isolated abelian varieties [PDF]
Journal of Number Theory, 2020 We call an abelian variety over a finite field $\mathbb{F}_q$ super-isolated if its ($\mathbb{F}_q$-rational) isogeny class contains a single isomorphism class. In this paper, we use the Honda-Tate theorem to characterize super-isolated ordinary simple abelian varieties by certain algebraic integers.
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