Results 1 to 10 of about 200 (50)

Brauer groups of Quot schemes [PDF]

open access: yesMichigan 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 $-d$.
Indranil Biswas   +2 more
exaly   +3 more sources

A note on divisorial correspondences of extensions of abelian schemes by tori [PDF]

open access: yesCommunications in Algebra, 2020
Let S be a locally noetherian scheme and consider two extensions G_1 and G_2 of abelian S-schemes by S-tori. In this note we prove that the fppf-sheaf Corr _S(G_1,G_2) of divisorial correspondences between G_1 and G_2 is representable.
Cristiana Bertolin
exaly   +5 more sources

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

open access: yesForum of Mathematics, Sigma, 2021
Using the theory of cohomological invariants for algebraic stacks, we compute the Brauer group of the moduli stack of hyperelliptic curves ${\mathcal {H}}_g$ over any field of characteristic $0$.
Andrea Di Lorenzo, Roberto Pirisi
doaj   +1 more source

Fibre Bundles and Generalised Dimensional Reduction [PDF]

open access: yes, 1997
We study some geometrical and topological aspects of the generalised dimensional reduction of supergravities in D=11 and D=10 dimensions, which give rise to massive theories in lower dimensions.
C N Pope   +15 more
core   +3 more sources

Failure of strong approximation on an affine cone [PDF]

open access: yes, 2018
We use the Brauer-Manin obstruction to strong approximation on a punctured affine cone to explain a curious property of coprime integer solutions to a homogeneous Diophantine equation.Comment: Changes following referee's ...
Bright, Martin, Kok, Ivo
core   +3 more sources

Brauer group of moduli spaces of pairs [PDF]

open access: yes, 2011
We show that the Brauer group of any moduli space of stable pairs with fixed determinant over a curve is zero.Comment: 12 pages.
Artin M.   +15 more
core   +3 more sources

Poisson Algebras and 3D Superintegrable Hamiltonian Systems [PDF]

open access: yes, 2018
Using a Poisson bracket representation, in 3D, of the Lie algebra sl (2), we first use highest weight representations to embed this into larger Lie algebras.
Fordy, AP, Haung, Q
core   +2 more sources

The Period-Index Problem of the Canonical Gerbe of Symplectic and Orthogonal Bundles [PDF]

open access: yes, 2015
We consider regularly stable parabolic symplectic and orthogonal bundles over an irreducible smooth projective curve over an algebraically closed field of characteristic zero.
Biswas, Indranil   +2 more
core   +1 more source

Obstructions to the Hasse principle in families [PDF]

open access: yes, 2018
For a family of varieties over a number field, we give conditions under which 100% of members have no Brauer-Manin obstruction to the Hasse principle.Comment: Improvements following referees ...
Bright, Martin
core   +3 more sources

Instability for a Certain Functional Differential Equation of Sixth Order [PDF]

open access: yes, 2011
Sucient conditions are obtained for the instability of the zero solutionof a certain sixth order nonlinear functional dierential equation by the Lyapunov-Krasovskii functional approach.
Tunc, C. (Cemil)
core   +2 more sources

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