Results 1 to 10 of about 316 (120)

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 $-d$. There are natural morphisms ${\mathcal Q}(r,d) \longrightarrow \text{Sym}^d(X)$ and $\text{Sym}^d(X) \longrightarrow \text{Pic}^d(X)$.
Ajneet Dhillon   +2 more
exaly   +5 more sources

Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics [PDF]

open access: yesJournal 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
exaly   +3 more sources

Brauer groups of abelian schemes [PDF]

open access: yesAnnales Scientifiques De L'Ecole Normale Superieure, 1972
exaly   +3 more sources

Picard and Brauer Groups of Zariski Schemes [PDF]

open access: yesProceedings 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
openaire   +2 more sources

Brauer groups and Galois cohomology for a Krull scheme

open access: yesJournal of Algebra, 1985
In a previous paper the authors introduced the class group \(Cl(\mathcal C(X))\) and the Brauer group \(Br(\mathcal C(X))\), where \(\mathcal C(X)\) is a suitable category of divisorial lattices over a Krull scheme. In this paper it is shown that there are exact sequences of Galois cohomology which relate the class groups and Brauer groups so defined ...
Lee, Heisook, Orzech, Morris
openaire   +1 more source

Brauer group of punctual Quot scheme of points on a smooth projective surface

open access: yes, 2019
Let $X$ be a smooth projective surface over an algebraically closed field $k$ such that $char(k) \neq 2$. Let $X^{[d]}$ denote the punctual Hilbert scheme of zero dimensional quotients of degree $d$ and $X^{(d)}$ denote the symmetric product of $X$. For $\ell \neq 2$, we give a formula for the $\ell$-primary part of the Brauer group of $X^{[2]}$.
Parameswaran, A. J., Pandey, Yashonidhi
openaire   +2 more sources

Mackey-functor structure on the Brauer groups of a finite Galois covering of schemes

open access: yes, 2008
Past studies of the Brauer group of a scheme tells us the importance of the interrelationship among Brauer groups of its finite étale coverings. In this paper, we consider these groups simultaneously, and construct an integrated object "Brauer-Mackey functor".
openaire   +2 more sources

Phylogenetic relationships of the woodlouse flies (Diptera: Rhinophorinae) and the cluster flies (Diptera: Polleniidae). [PDF]

open access: yesPLoS One, 2023
Gisondi S   +6 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy