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Stable Separation of Orbits for Finite Abelian Group Actions
In this paper we construct two new families of invariant maps that separate the orbits of the action of a finite Abelian group on a finite...
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Invariant Brauer group of an abelian variety
We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao....
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The Systems with Almost Banach-Mean Equicontinuity for Abelian Group Actions
In this paper, we present the concept of Banach-mean equicontinuity and prove that the Banach-, Weyl- and Besicovitch-mean equicontinuities of a...
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The Quotient Criterion for Syzygies in Equivariant Cohomology for Elementary Abelian 2-Group Actions
Let G be a elementary abelian 2-group and X be a manifold with a locally standard action of G . We provide a criterion to determine the syzygy order...
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Abelian Varieties
An abelian variety is by definition a complex torus admitting a positive line bundle or equivalently a projective embedding. The Riemann Relations...
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Para-Abelian Varieties and Albanese Maps
We construct for every proper algebraic space over a ground field an Albanese map to a para-abelian variety, which is unique up to unique...
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Abelian Actions on Pseudo-real Riemann Surfaces
A compact Riemann surface is called pseudo-real if it admits orientation-reversing automorphisms but none of them has order two. In this paper, we...
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The Little Group Method for Abelian Extensions
In this chapter we study the representation theory of the class of groups G with a normal subgroup N such that the following conditions are...
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Perfect state transfer on quasi-abelian semi-Cayley graphs
Perfect state transfer on graphs has attracted extensive attention due to its application in quantum information and quantum computation. A graph is...
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Harmonic almost complex structures on almost abelian Lie groups and solvmanifolds
An almost abelian Lie group is a solvable Lie group with a codimension one normal abelian subgroup. We characterize almost Hermitian structures on...
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Geometric Decomposition of Abelian Varieties of Order 1
Since the 1970s, the complete classification (up to isogeny) of abelian varieties over finite fields with trivial group of rational points has been...
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Main Examples of Abelian Varieties
In this chapter some of the most prominent examples of abelian varieties will be introduced, namely abelian surfaces, Picard and Albanese varieties,...
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On the Braid Group Action on Exceptional Sequences for Weighted Projective Lines
We give a new and intrinsic proof of the transitivity of the braid group action on the set of full exceptional sequences of coherent sheaves on a...
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Minimal Triangular Structures on Abelian Extensions
We study minimal triangular structures on abelian extensions. In particular, we construct a family of minimal triangular semisimple Hopf algebras and...
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On abelian subcategories of triangulated categories
The stable module category of a selfinjective algebra is triangulated, but need not have any nontrivial t -structures, and in particular, full abelian...
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Group Action on Fuzzy Ideals of Near Rings
In this paper, we introduce the group action on a near ring \(\mathcal {N}\)...
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Algebraic Model of Non-Abelian Superselection Rules Considering Conjugate Endomorphism
AbstractIn this paper, we consider an extension of the previously proposed algebraic model and study the constraints of non-Abelian superselection...