Results 41 to 50 of about 14,597,748 (196)
Picard Groups and Refined Discrete Logarithms [PDF]
AbstractLet K denote a number field, and G a finite abelian group. The ring of algebraic integers in K is denoted in this paper by $/cal{O}_K$, and $/cal{A}$ denotes any $/cal{O}_K$-order in K[G]. The paper describes an algorithm that explicitly computes the Picard group Pic($/cal{A}$), and solves the corresponding (refined) discrete logarithm problem.
Werner Bley, Markus Endres
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There is a huge group of algorithms described in the literature that iteratively find solutions of a given equation. Most of them require tuning. The article presents root-finding algorithms that are based on the Newton–Raphson method which iteratively ...
Ireneusz Gościniak, Krzysztof Gdawiec
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Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let MG, Higgsδbe a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type δ∈π1(G).
Chakraborty Sujoy, Paul Arjun
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On the group of units and the Picard group of a product [PDF]
Let S be a reduced scheme and let $$f:X\rightarrow S$$f:X→S and $$g:Y\rightarrow S$$g:Y→S be faithfully flat morphisms locally of finite presentation with reduced and connected maximal geometric fibers.
Cristian D. González-Avilés
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Kummer surfaces and the computation of the Picard group [PDF]
We test R. van Luijk’s method for computing the Picard group of a K3 surface. The examples considered are the resolutions of Kummer quartics in P 3 . Using the theory of abelian varieties, the Picard group may be computed directly in this case.
A. Elsenhans, Jörg Jahnel
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On the Brauer-Picard group of a finite symmetric tensor category [PDF]
Let C_n denote the representation category of a finite supergroup generated by purely odd n-dimensional vector space. We compute the Brauer-Picard group BrPic(C_n) of C_n.
C. Bontea, D. Nikshych
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The Connection between the PQ Penny Flip Game and the Dihedral Groups
This paper is inspired by the PQ penny flip game. It employs group-theoretic concepts to study the original game and its possible extensions. In this paper, it is shown that the PQ penny flip game can be associated, in a precise way, with the dihedral ...
Theodore Andronikos, Alla Sirokofskich
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The Picard group of topological modular forms via descent theory [PDF]
This paper starts with an exposition of descent-theoretic techniques in the study of Picard groups of $\mathbf{E}_{\infty}$-ring spectra, which naturally lead to the study of Picard spectra.
A. Mathew, Vesna Stojanoska
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Iron deficiency in heart failure patients: the French CARENFER prospective study
Aims Iron deficiency (ID) is reported as one of the main co‐morbidities in patients with chronic heart failure (CHF), which then influences quality of life and prognosis.
Alain Cohen‐Solal +9 more
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Generalized unitaries and the Picard group [PDF]
minor corrections, some parts extended, this version is to appear in Proceedings of the Indian Academy of ...
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