Results 21 to 30 of about 143,337 (259)
Torus quotient of the Grassmannian $G_{n,2n}$
Comptes Rendus. Mathématique, 2023 Let $G_{n,2n}$ be the Grassmannian parameterizing the $n$-dimensional subspaces of $\mathbb{C}^{2n}$. The Picard group of $G_{n,2n}$ is generated by a unique ample line bundle $\mathcal{O}(1)$.
Nayek, Arpita, Saha, Pinakinath
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Curves on Heisenberg invariant quartic surfaces in projective 3-space [PDF]
, 2018 This paper is about the family of smooth quartic surfaces $X \subset \mathbb{P}^3$ that are invariant under the Heisenberg group $H_{2,2}$. For a very general such surface $X$, we show that the Picard number of $X$ is 16 and determine its Picard group ...
A Garbagnati +25 more
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Troisi\`eme groupe de cohomologie non ramifi\'ee des torseurs universels sur les surfaces rationnelles [PDF]
Épijournal de Géométrie Algébrique, 2018 Let $k$ a field of characteristic zero. Let $X$ be a smooth, projective, geometrically rational $k$-surface. Let $\mathcal{T}$ be a universal torsor over $X$ with a $k$-point et $\mathcal{T}^c$ a smooth compactification of $\mathcal{T}$. There is an open
Yang Cao
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Picard Groups and Refined Discrete Logarithms [PDF]
LMS Journal of Computation and Mathematics, 2005 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.
Bley, Werner, Endres, Markus
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Physics Letters B, 2023 We continue the study of a relationship between the instanton expansion of the Seiberg-Witten (SW) prepotential of D=4, N=2 SU(2) SUSY gauge theory and the Monstrous moonshine.
Shun'ya Mizoguchi +3 more
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Picard Groups in Poisson Geometryr
Moscow Mathematical Journal, 2004 We study isomorphism classes of symplectic dual pairs P P-, where P is an integrable Poisson manifold, S is symplectic, and the two maps are complete, surjective Poisson submersions with connected and simply-connected fibres. For fixed P, these Morita self-equivalences of P form a group Pic(P) under a natural ``tensor product'' operation.
Bursztyn, Henrique, Weinstein, Alan
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Cryptanalysing the critical group: efficiently solving Biggs's discrete logarithm problem
Journal of Mathematical Cryptology, 2009 Biggs has recently proposed the critical group of a certain class of finite graphs as a platform group for cryptosystems relying on the difficulty of the discrete log problem. The paper uses techniques from the theory of Picard groups on finite graphs to
Blackburn Simon R.
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Picard groups of the moduli spaces of semistable sheaves I [PDF]
, 2004 We compute the Picard group of the moduli space $U'$ of semistable vector bundles of rank $n$ and degree $d$ on an irreducible nodal curve $Y$ and show that $U'$ is locally factorial.
Bhosle, Usha N
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Hecke actions on picard groups
Journal of Pure and Applied Algebra, 1982 The Hecke category \({\mathfrak H}_ G\) of a group \(G\) is defined as the category of the \({\mathbb{Z}}G\)-permutation modules \({\mathbb{Z}}G/H\) for all subgroups \(H\) of \(G\). For any given \({\mathbb{Z}}G\)-module \(M\) one defines in a natural way a contravariant additive functor \(\Phi_ M: {\mathfrak H}_ G\to\) Abelian groups, with \(\Phi_ M({
Roggenkamp, Klaus, Scott, Leonard
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Explicit Determination of the Picard Group of Moduli Spaces of Semi-Stable G-Bundles on Curves [PDF]
, 2005 Let $\mathcal C$ be a smooth irreducible projective curve over the complex numbers and let $G$ be a simple simply-connected complex algebraic group. Let $\mathfrak M=\mathfrak M(G,\mathcal C)$ be the moduli space of semistable principal $G$-bundles on ...
Boysal, Arzu, Kumar, Shrawan
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