Results 1 to 10 of about 14,597,748 (196)
Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible with
Valentin Ovsienko
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Polymorphic Automorphisms and the Picard Group
CoRR, 2021 We investigate the concept of definable, or inner, automorphism in the logical setting of partial Horn theories. The central technical result extends a syntactical characterization of the group of such automorphisms (called the covariant isotropy group ...
Pieter J. W. Hofstra +2 more
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Picard Groups of Algebraic Groups and an Affineness Criterion
Comptes Rendus. Mathématique, 2023 We prove that an algebraic group over a field $k$ is affine precisely when its Picard group is torsion, and show that in this case the Picard group is finite when $k$ is perfect, and the product of a finite group of order prime to $p$ and a $p$-primary ...
Rosengarten, Zev
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The Picard group of a coarse moduli space of vector bundles in positive characteristic [PDF]
Open Mathematics, 2012 Let C be a smooth projective curve over an algebraically closed field of arbitrary characteristic. Let Mr,Lss denote the projective coarse moduli scheme of semistable rank r vector bundles over C with fixed determinant L.
Hoffmann Norbert
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The Picard Group of an Order and Külshammer Reduction [PDF]
Algebras and Representation Theory, 2018 Let (K,O,k)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(K,\mathcal {O}
F. Eisele
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The Picard group of Brauer-Severi varieties
Open Mathematics, 2018 In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular,we provide such generators for all Brauer-Severi surfaces.
Badr Eslam +2 more
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The Local Picard Group of a Ring Extension [PDF]
Mediterranean Journal of Mathematics, 2023 Given an integral domain D and a D-algebra R, we introduce the local Picard group LPic(R,D)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
D. Spirito
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Integral Picard group of moduli of polarized K3 surfaces [PDF]
Bulletin of the London Mathematical Society, 2023 We compute the integral Picard group of the moduli stack of polarized K3 surfaces of fixed degree whose singularities are at most rational double points, and of its coarse moduli space.
Andrea Di Lorenzo +2 more
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Recovering the Picard group of quadratic algebras from Wood's binary quadratic forms [PDF]
International Journal of Number Theory, 2021 Let $S$ be a scheme such that $2$ is not a zero divisor. In this paper, we address the following question: given a quadratic algebra over $S$, how can we parametrize its Picard group in terms of quadratic forms?
William Dallaporta
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Moduli spaces on the Kuznetsov component of Fano threefolds of index 2 [PDF]
Épijournal de Géométrie Algébrique, 2022 General hyperplane sections of a Fano threefold $Y$ of index 2 and Picard rank 1 are del Pezzo surfaces, and their Picard group is related to a root system.
Matteo Altavilla +2 more
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