Results 51 to 60 of about 297 (187)

GENERIC VANISHING THEORY VIA MIXED HODGE MODULES

Forum of Mathematics, Sigma, 2013
We extend most of the results of generic vanishing theory to bundles of holomorphic forms and rank-one local systems, and more generally to certain coherent sheaves of Hodge-theoretic origin associated with irregular varieties. Our main tools are Saito’s
MIHNEA POPA, CHRISTIAN SCHNELL
doaj   +1 more source

The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima   +2 more
wiley   +1 more source

Systèmes dynamiques algébriquement complètement intégrables et géométrie

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
In this paper I present the basic ideas and properties of the complex algebraic completely integrable dynamical systems. These are integrable systems whose trajectories are straight line motions on complex algebraic tori (abelian varieties). We make, via
Lesfari A.
doaj   +1 more source

The motive of the Hilbert scheme of points in all dimensions

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo, Sergej Monavari, Riccardo Moschetti, Andrea T. Ricolfi   +3 more
wiley   +1 more source

Building Abelian Functions with Generalised Baker-Hirota Operators

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and Hirota.
Matthew England, Chris Athorne
doaj   +1 more source

Degenerating abelian varieties

Topology, 1991
The paper deals with abelian varieties over a field \(K\) which is complete with respect to a valuation of height 1. Certain statements which were formulated by Raynaud in 1970 are proved. In a first part the authors give an overview of results on uniformizations of abelian varieties in the framework of rigid analytic geometry.
Bosch, Siegfried, Lütkebohmert, Werner
openaire   +2 more sources

Assembly of constructible factorization algebras

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde   +2 more
wiley   +1 more source

Spectral Analysis Implies Spectral Synthesis

Mathematics
In this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
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

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, Volume 36, Issue 15, 19 February 2026.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source