Results 41 to 50 of about 656 (169)

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Physical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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Axions, higher-groups, and emergent symmetry

Journal of High Energy Physics, 2022
Axions, periodic scalar fields coupled to gauge fields through the instanton density, have a rich variety of higher-form global symmetries. These include a two-form global symmetry, which measures the charge of axion strings.
T. Daniel Brennan, Clay Córdova
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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

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
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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
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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

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  

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
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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

THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$

Forum of Mathematics, Sigma, 2016
The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
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