## Abstract A semiorthogonal decomposition for the bounded derived category of coherent sheaves on a Brauer–Severi scheme is given. It relies on bounded derived categories of suitably twisted coherent sheaves on the base (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Fibers of Generic Brauer–Severi Schemes
✍ Scribed by Lieven Le Bruyn; George Seelinger
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 107 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
In this note we investigate the fibers of Van den Bergh's Brauer᎐Severi scheme
BS
¸V of the trace ring of m generic n = n matrices over the variety of m, n m , n Ž .
📜 SIMILAR VOLUMES
## Abstract In 1932, F. Severi claimed, with an incorrect proof, that every smooth minimal projective surface __S__ of irregularity __q__ = __q__(__S__) > 0 without irrational pencils of genus __q__ satisfies the topological inequality 2__c__^2^~1~ (__S__) ≥ __c__~2~(__S__). According to the Enriq
Let F be either an algebraic number field or a p-adic field and A a central simple algebra over F . Suppose A is spanned by a multiplicative semigroup Γ ⊂ A with the property that the minimal polynomial of every g ∈ Γ splits over F . Then A represents the trivial class in the Brauer group of F .