Results 1 to 10 of about 67 (60)
The Index of a Brauer Class on a Brauer-Severi Variety [PDF]
Transactions of the American Mathematical Society, 1992 Let D D and E
Michel Van Den Bergh
exaly +2 more sources
Witt groups of hermitian forms over a Brauer–Severi variety [PDF]
Pacific Journal of Mathematics, 2010 Let \(k\) be a field with \(\text{char}\,k \neq 2\), let \(X\) be a scheme such that \(2 \in H^0(X, {\mathcal O}_X^*)\), and let \({\mathcal A}\) be an algebra over the scheme \(X\) with a \({\mathcal O}_X\)-linear involution \(\sigma\) (here an \({\mathcal O}_X\)-algebra is always assumed to be an associative \({\mathcal O}_X\)-algebra that is unital ...
Susanne Pumplün
exaly +3 more sources
Glider Brauer-Severi varieties of central simple algebras
Journal of Algebra, 2020 24 pages, submitted for ...
Frederik Caenepeel
exaly +5 more sources
Absolutely split locally free sheaves on proper k-schemes and Brauer–Severi varieties
Bulletin Des Sciences MathematiquesWe classify absolutely split vector bundles on proper $k$-schemes. More precise, we prove that the closed points of the Picard scheme are in one-to-one correspondence with indecomposable absolutely split vector bundles. Furthermore, we apply the obtained results to study the geometry of (generalized) Brauer--Severi varieties.
exaly +4 more sources
On the section conjecture and Brauer–Severi varieties [PDF]
Mathematische Zeitschrift, 2021 AbstractJ. Stix proved that a curve of positive genus over $$\mathbb {Q}$$ Q which maps to a non-trivial Brauer–Severi variety satisfies the section conjecture. We prove that, if X is a curve of positive genus over a number field k and the Weil restriction $$R_{k/\mathbb {Q}}X$$
openaire +6 more sources
Ulrich bundles on Brauer–Severi varieties [PDF]
Proceedings of the American Mathematical Society, 2023 We prove the existence of Ulrich bundles on any Brauer–Severi variety. In some cases, the minimal possible rank of the obtained Ulrich bundles equals the period of the Brauer–Severi variety. Moreover, we find a formula for the rank of an Ulrich bundle involving the period of the considered Brauer–Severi variety
openaire +3 more sources
The elliptic sieve and Brauer groups
Proceedings of the London Mathematical Society, Volume 126, Issue 6, Page 1884-1922, June 2023., 2023 Abstract A theorem of Serre states that almost all plane conics over Q${{\mathbb {Q}}}$ have no rational point. We prove an analogue of this for families of conics parametrised by elliptic curves using elliptic divisibility sequences and a version of the Selberg sieve for elliptic curves.
Subham Bhakta +3 more
wiley +1 more source
On the Brauer group of a generic Godeaux surface
Journal of the London Mathematical Society, Volume 107, Issue 5, Page 1881-1899, May 2023., 2023 Abstract Let X$X$ be a Godeaux surface and qX:Y→X$q_{X}\colon Y\rightarrow X$ be its universal cover. We show that the pullback map qX∗:Br(X)→Br(Y)$q_{X}^{*}\colon \operatorname{Br}(X)\rightarrow \operatorname{Br}(Y)$ is injective if ρ(Y)=9$\rho (Y)=9$. Our arguments rely on a degeneration technique that also applies to other examples.
Theodosis Alexandrou
wiley +1 more source
Some torsion classes in the Chow ring and cohomology of BPGLn
Journal of the London Mathematical Society, Volume 103, Issue 1, Page 127-160, January 2021., 2021 Abstract In the integral cohomology ring of the classifying space of the projective linear group PGLn (over C), we find a collection of p‐torsion classes yp,k of degree 2(pk+1+1) for any odd prime divisor p of n, and k⩾0. If, in addition, p2∤n, there are p‐torsion classes ρp,k of degree pk+1+1 in the Chow ring of the classifying stack of PGLn, such ...
Xing Gu
wiley +1 more source
Genus one curves and Brauer–Severi varieties [PDF]
Mathematical Research Letters, 2012 comments ...
de Jong, Aise Johan, Ho, Wei
openaire +2 more sources