Results 11 to 20 of about 143,337 (259)
Generalized Unitaries and the Picard Group [PDF]
Proceedings of the Indian Academy of Sciences - Section A, 2005 After discussing some basic facts about generalized module maps, we use the representation theory of the algebra of adjointable operators on a Hilbert B-module E to show that the quotient of the group of generalized unitaries on E and its normal subgroup
Skeide, M.
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Maps between local Picard groups [PDF]
Algebraic Geometry, 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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Picard Groups for Derived Module Categories
Proceedings of the London Mathematical Society, 2003 As in the introduction (section 1), let \(k\) be a commutative ring and let \(A\) be a \(k\)-algebra. An \(A\)-module means a left \(A\)-module, \(A^o\) denotes the opposite \(k\)-algebra of \(A\) and let \({\mathcal D}^b(A)\) denote the full subcategory of the derived category of \(A\)-modules consisting of objects with bounded homology. Also identify
Rouquier, R, Zimmermann, A
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Picard groups and class groups of monoid schemes
Journal of Algebra, 2014 We define and study the Picard group of a monoid scheme and the class group of a normal monoid scheme. To do so, we develop some ideal theory for (pointed abelian) noetherian monoids, including primary decomposition and discrete valuations. The normalization of a monoid turns out to be a monoid scheme, but not always a monoid.
Flores, J., Weibel, C.
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Picard group of moduli of hyperelliptic curves
Mathematische Zeitschrift, 2007 The main subject of this work is the difference between the coarse moduli space and the stack of hyperelliptic curves. We compute their Picard groups, giving explicit description of the generators.
Gorchinskiy, Sergey, Viviani, Filippo
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The Derived Picard Group is a Locally Algebraic Group [PDF]
Algebras and Representation Theory, 2004 Let A be a finite dimensional algebra over an algebraically closed field K. The derived Picard group DPic(A) is the group of two-sided tilting complexes over A modulo isomorphism. We prove that DPic(A) is a locally algebraic group, and its identity component is Out^0(A).
Amnon Yekutieli
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Colloquium Mathematicum, 1997 This paper is one of three papers of the authors on Picard groups. The other two are ``Picard groups and infinite matrix rings'' (to appear) and ``Outer induced Picard group'' (to appear). By definition the Picard group of a ring \(A\) with local units is the group of category-auto-equivalences of \(A\)-Mod.
Abrams, Gene, Haefner, Jeremy
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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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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 Koll r. 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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Picard groups of $b$-symplectic manifolds [PDF]
Journal of Symplectic Geometry, 2021 We compute the Picard group of a stable b-symplectic manifold $M$ by introducing a collection of discrete invariants $\mathfrak{Gr}$ which classify $M$ up to Morita equivalence.
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