Results 91 to 100 of about 2,776 (226)
On the Mordell-Weil rank of an abelian variety over a number field [PDF]
, 1989 Let K be a number field and A an abelian variety over K. The K-rational points of A are known to constitute a finitely generated abelian group (Mordell-Weil theorem).
Top, Jakob; id_orcid, Ooe, Takeshi
core +3 more sources
Null projections and noncommutative function theory in operator algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
wiley +1 more source
A characterization of Jacobians by the existence of Picard bundles
Le Matematiche, 2008 Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.
Ana C. López Martín +2 more
doaj
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
wiley +1 more source
The cohomology objects of a semi-abelian variety are small [PDF]
A well-known, but often ignored issue in Yoneda-style definitions of cohomology objects via collections of n-step extensions (i.e., equivalence classes of exact sequences of a given length n between two given objects, usually subject to further criteria,
Van der Linden, Tim +2 more
core +1 more source
Cohomology of abelian arrangements [PDF]
, 2016 An abelian arrangement is a finite set of codimension one abelian subvarieties (possibly translated) in a complex abelian variety. In this paper, we study the cohomology of the complement of an abelian arrangement. For unimodular abelian arrangements, we
Bibby, Christin
core +1 more source
Correspondences to abelian varieties I
Duke Mathematical Journal, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources
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
Cyclic coverings of genus $2$ curves of Sophie Germain type
Forum of Mathematics, SigmaWe consider cyclic unramified coverings of degree d of irreducible complex smooth genus $2$ curves and their corresponding Prym varieties. They provide natural examples of polarized abelian varieties with automorphisms of order d.
J.C. Naranjo, A. Ortega, I. Spelta
doaj +1 more source
The monodromy pairing and discrete logarithm on the Jacobian of finite graphs
Journal of Mathematical Cryptology, 2010 Every graph has a canonical finite abelian group attached to it. This group has appeared in the literature under a variety of names including the sandpile group, critical group, Jacobian group, and Picard group.
Shokrieh Farbod
doaj +1 more source