Results 31 to 40 of about 14,597,748 (196)
Lefschetz for Local Picard groups [PDF]
Annales scientifiques de l'École normale supérieure, 2014 We prove a strengthening of the Grothendieck-Lefschetz hyperplane theorem for local Picard groups conjectured by Kollár. Our approach, which relies on acyclicity results for absolute integral closures, also leads to a restriction theorem for higher rank bundles on projective varieties in positive characteristic.
Bhatt, Bhargav, de Jong, Aise Johan
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The Picard group of the forms of the affine line and of the additive group [PDF]
, 2016 We obtain an explicit upper bound on the torsion of the Picard group of the forms of the affine line and of the additive group, and a sufficient condition for this Picard group to be non trivial.
Raphael Achet
semanticscholar +1 more source
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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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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The derived Picard group of an affine Azumaya algebra [PDF]
, 2016 We describe the derived Picard group of an Azumaya algebra A on an affine scheme X in terms of global sections of the constant sheaf of integers on X, the Picard group of X, and the stabilizer of the Brauer class of A under the action of $$\mathrm {Aut ...
C. Negron
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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 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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A decomposition of the Brauer-Picard group of the representation category of a finite group [PDF]
, 2015 We present an approach of calculating the group of braided autoequivalences of the category of representations of the Drinfeld double of a finite dimensional Hopf algebra $H$ and thus the Brauer-Picard group of $H$-$\mathrm{mod}$. We consider two natural
S. Lentner, J. Priel
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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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Rigged modules I: modules over dual operator algebras and the Picard group [PDF]
, 2016 In a previous paper we generalized the theory of W*-modules to the setting of modules over nonselfadjoint dual operator algebras, obtaining the class of weak*-rigged modules.
D. Blecher, Upasana Kashyap
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