Results 1 to 10 of about 9,116 (126)
Brauer Groups of Quot Schemes [PDF]
Michigan Mathematical Journal, 2015 Let $X$ be an irreducible smooth complex projective curve. Let ${\mathcal Q}(r,d)$ be the Quot scheme parametrizing all coherent subsheaves of ${\mathcal O}^{\oplus r}_X$ of rank $r$ and degree $-d$.
Biswas, Indranil +2 more
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Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics [PDF]
Journal of Pure and Applied Algebra, 2020 In this paper we show that the l^n-torsion part of the cohomological Brauer groups of certain schemes associated to symmetric powers of a projective smooth curve over a separably closed field k are isomorphic, when `l is invertible in k. The schemes considered are the Symmetric powers themselves, then the corresponding Picard schemes and also certain ...
Iyer, Jaya N. N., Joshua, Roy
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Picard and Brauer Groups of Zariski Schemes [PDF]
Proceedings of the American Mathematical Society, 1986 The Cartier-Yuan exact sequence is used to calculate Picard groups and Brauer groups of Zariski surfaces and their generalizations. A result of Blass-Deligne on the factoriality of general affine Zariski surfaces is extended to all higher dimensional Zariski schemes.
Blass, Piotr, Hoobler, Raymond
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On coverings of Deligne-Mumford stacks and surjectivity of the Brauer map [PDF]
, 2003 This paper proves a result on the existence of finite flat scheme covers of Deligne-Mumford stacks. This result is used to prove that a large class of smooth Deligne-Mumford stacks with affine moduli space are quotient stacks, and in the case of quasi ...
Kresch, Andrew, Vistoli, Angelo
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Local-global principles for 1-motives [PDF]
, 2007 Building upon our arithmetic duality theorems for 1-motives, we prove that the Manin obstruction related to a finite subquotient $\Be (X)$ of the Brauer group is the only obstruction to the Hasse principle for rational points on torsors under semiabelian
Harari, David, Szamuely, Tamas
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, 2007 An integer may be represented by a quadratic form over each ring of p-adic integers and over the reals without being represented by this quadratic form over the integers.
Borovoi +16 more
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The derived Picard group of an affine Azumaya algebra
, 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 Aut(X).
Negron, Cris
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Motivic Decomposition of Projective Pseudo-homogeneous Varieties [PDF]
, 2016 Let $G$ be a semi-simple algebraic group over a perfect field $k$. A lot of progress has been made recently in computing the Chow motives of projective $G$-homogenous varieties.
Srinivasan, Srimathy
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Zero-cycles on varieties over p-adic fields and Brauer groups
, 2014 In this paper, we study the Brauer-Manin pairing of smooth proper varieties over local fields, and determine the $p$-adic part of the kernel of one side.
Saito, Shuji, Sato, Kanetomo
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