Results 11 to 20 of about 116,933 (156)
Picard groups of normal surfaces [PDF]
Journal of Singularities, 2012 We study the fixed singularities imposed on members of a linear system of surfaces in P^3_C by its base locus Z. For a 1-dimensional subscheme Z \subset P^3 with finitely many points p_i of embedding dimension three and d >> 0, we determine the nature of the singularities p_i \in S for general S in |H^0 (P^3, I_Z (d))| and give a method to ...
Brevik, John, Nollet, Scott
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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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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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Maps between local Picard groups [PDF]
, 2014 We study the local Picard group of singularities. We study those elements in the local Picard group that become trivial either when pulled-back to the normalization or when restricted to a hyperplane section.
Kollár, János
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Sequence variant analysis of RNA sequences in severe equine asthma [PDF]
PeerJ, 2018 Background Severe equine asthma is a chronic inflammatory disease of the lung in horses similar to low-Th2 late-onset asthma in humans. This study aimed to determine the utility of RNA-Seq to call gene sequence variants, and to identify sequence variants
Laurence Tessier +2 more
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Extensions of Picard 2-Stacks and the cohomology groups Ext^i of length 3 complexes [PDF]
, 2013 The aim of this paper is to define and study the 3-category of extensions of Picard 2-stacks over a site S and to furnish a geometrical description of the cohomology groups Ext^i of length 3 complexes of abelian sheaves.
A.E. Tatar +6 more
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Picard group of dual categories [PDF]
Categories and General Algebraic Structures with ApplicationsWe provide an explicit description of the Picard group (the group of isomorphism classes of invertible objects, those that have an inverse under the tensor product) of the dual category of the category of comodules over a supergroup algebra, by using the
Adriana Mejía Castaño
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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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Group actions, non-Kähler complex manifolds and SKT structures
Complex Manifolds, 2018 We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as structure group, under certain conditions.
Poddar Mainak, Thakur Ajay Singh
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