Results 31 to 40 of about 143,337 (259)
Picard group of a connected affine algebraic group
Russian Mathematical Surveys, 2023 Revised version emphasizing the canonical nature of the construction.
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Analysis of a Picard modular group [PDF]
Proceedings of the National Academy of Sciences, 2006 Our main goal is to analyze the geometric and spectral properties of the Picard modular group with Gaussian integer entries acting on the two-dimensional complex hyperbolic space.
Francsics, Gábor, Lax, Peter D.
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Entropy, 2020 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
Complex Manifolds, 2018 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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Picard groups on moduli of K3 surfaces with Mukai models [PDF]
, 2014 We discuss the Picard group of moduli space $\mathcal{K}_g$ of quasi-polarized K3 surfaces of genus $g\leq 12$ and $g\neq 11$. In this range, $\mathcal{K}_g$ is unirational and a general element in $\mathcal{K}_g$ is a complete intersection with respect ...
Greer, Francois +2 more
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Torsion in 1-Cusped Picard Modular Groups
Transformation Groups, 2023 We present a systematic effective method to construct coarse fundamental domains for the action of the Picard modular groups $PU(2,1,\mathcal{O}_d)$ where $\mathcal{O}_d$ has class number one, i.e. $d=1,2,3,7,11,19,43,67,163$. The computations can be performed quickly up to the value $d=19$.
Deraux, Martin, Xu, Mengmeng
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The Connection between the PQ Penny Flip Game and the Dihedral Groups
Mathematics, 2021 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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Logarithmic Picard groups, chip firing, and the combinatorial rank
, 2019 Illusie has suggested that one should think of the classifying group of M_X^{gp}-torsors on a logarithmically smooth curve $X$ over a standard logarithmic point as a logarithmic analogue of the Picard group of $X$.
Foster, T. +3 more
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Picard group of hypersurfaces in toric 3-folds [PDF]
, 2011 We show that the usual sufficient criterion for a generic hypersurface in a smooth projective manifold to have the same Picard number as the ambient variety can be generalized to hypersurfaces in complete simplicial toric varieties.
ANTONELLA GRASSI +9 more
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, 2011 We use our extension of the Noether-Lefschetz theorem to describe generators of the class groups at the local rings of singularities of very general hypersurfaces containing a fixed base locus. We give several applications, including (1) every subgroup of the class group of the completed local ring of a rational double point arises as the class group ...
Brevik, John, Nollet, Scott
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