Results 71 to 80 of about 60,716 (200)

Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles

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  

Dirac pairings, one-form symmetries and Seiberg-Witten geometries

Journal of High Energy Physics, 2022
The Coulomb phase of a quantum field theory, when present, illuminates the analysis of its line operators and one-form symmetries. For 4d N $$ \mathcal{N} $$ = 2 field theories the low energy physics of this phase is encoded in the special Kähler ...
Philip C. Argyres, Mario Martone, Michael Ray   +2 more
doaj   +1 more source

Computing isogenies between abelian varieties [PDF]

Compositio Mathematica, 2012
AbstractWe describe an efficient algorithm for the computation of separable isogenies between abelian varieties represented in the coordinate system given by algebraic theta functions. Let A be an abelian variety of dimension g defined over a field of odd characteristic. Our algorithm comprises two principal steps. First, given a theta null point for A
Lubicz, David, Robert, Damien
openaire   +5 more sources

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
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, Ernesto C. Mistretta, Darío Sánchez Gómez   +2 more
doaj  

Monopoles, Clarified

Fortschritte der Physik, Volume 74, Issue 3, March 2026.
ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal, Subhroneel Chakrabarti, Madhusudhan Raman   +2 more
wiley   +1 more source

Fixed‐point posets of groups and Euler characteristics

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Suppose that G$G$ is a group and Ω$\Omega$ is a G$G$‐set. For X$\mathcal {X}$ a set of subgroups of G$G$, we introduce the fixed‐point poset XΩ$\mathcal {X}_{\Omega }$. A variety of results concerning XΩ$\mathcal {X}_{\Omega }$ are proved as, for example, in the case when p$p$ is a prime and X$\mathcal {X}$ is a non‐empty set of finite non ...
Peter Rowley
wiley   +1 more source

Connected components of the space of flags of SO0(p,q)$\operatorname{SO}_0(p,q)$ transverse to a fixed pair and restrictions on Anosov subgroups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley   +1 more source

Cyclic coverings of genus $2$ curves of Sophie Germain type

Forum of Mathematics, Sigma
We 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