Results 21 to 30 of about 69,880 (174)
Complete intersections: Moduli, Torelli, and good reduction [PDF]
We study the arithmetic of complete intersections in projective space over number fields. Our main results include arithmetic Torelli theorems and versions of the Shafarevich conjecture, as proved for curves and abelian varieties by Faltings. For example,
A Hartmann +36 more
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EBERLEIN–ŠMULYAN THEOREM FOR ABELIAN TOPOLOGICAL GROUPS [PDF]
Leaning on a remarkable paper of Pryce, the paper studies two independent classes of topological Abelian groups which are strictly angelic when endowed with their Bohr topology. Some extensions are given of the Eberlein–ˇSmulyan theorem for the class of topological Abelian groups, and finally, for a large subclass of the latter, Bohr angelicity is ...
Bruguera Padró, M. Montserrat +2 more
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Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras
This paper is concerned with strictly cyclic functionals of operator algebras on Banach spaces. It is shown that if X is a reflexive Banach space and A is a norm-closed semisimple abelian subalgebra of B(X) with a strictly cyclic functional f∈X∗, then A ...
Quanyuan Chen, Xiaochun Fang
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Deforming soft algebras for gauge theory
Symmetry algebras deriving from towers of soft theorems can be deformed by a short list of higher-dimension Wilsonian corrections to the effective action.
Walker Melton +2 more
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Vanishing Theorems for constructible Sheaves on Abelian Varieties [PDF]
We show that the hypercohomology of most character twists of perverse sheaves on a complex abelian variety vanishes in all non-zero degrees. As a consequence we obtain a vanishing theorem for constructible sheaves and a relative vanishing theorem for a ...
Krämer, Thomas, Weissauer, Rainer
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Straightening Theorem for bounded Abelian groups
For any abelian group \(G\), let \(G^{\sharp}\) denote the group \(G\) equipped with its Bohr topology, i. e. the initial topology of \(G\) with respect to the family of all homomorphisms of \(G\) into the circle group. For a positive integer \(m\) and a cardinal \(\kappa,\) let \({\mathbb V}_m^{\kappa}=\bigoplus_{\kappa} {\mathbb Z_m},\) where ...
DIKRANJAN, Dikran, DE LEO LORENZO
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Freiman's theorem in an arbitrary abelian group [PDF]
A famous result of Freiman describes the structure of finite sets A of integers with small doubling property. If |A + A| <= K|A| then A is contained within a multidimensional arithmetic progression of dimension d(K) and size f(K)|A|. Here we prove an analogous statement valid for subsets of an arbitrary abelian group.
Green, BJ, Ruzsa, IZ
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Montel–Type Theorems for Exponential Polynomials
In this paper, we characterize local exponential monomials and polynomials on different types of Abelian groups and we prove Montel-type theorems for these function classes.
Almira J. M., Székelyhidi L.
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Computing nilpotent quotients in finitely presented Lie rings [PDF]
A nilpotent quotient algorithm for finitely presented Lie rings over \textbfZ (and \textbfQ) is described. The paper studies the graded and non-graded cases separately. The algorithm computes the so-called nilpotent presentation for a finitely presented,
Csaba Schneider
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Abelian theorems for the stieltjes transform of functions, II
An initial (final) value Abelian theorem concerning transforms of functions is a result in which known behavior of the function as its domain variable approaches zero (approaches ∞) is used to infer the behavior of the transform as its domain variable ...
Richard D. Carmichael, Elmer K. Hayashi
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