Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor "Stuhler, Ulrich Prof. Dr."
Now showing items 1-7 of 7
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Azumaya-Algebren und Oktavenalgebren auf algebraischen Varietäten
(2013-11-21)We study noncommutative algebras over rings and on algebraic varieties. In the first part we give a criterion for whether or how far a central simple algebra over the function field of a projective variety could be extended ... -
Moduli spaces of bundles over two-dimensional orders
(2013-05-15)We study modules over maximal orders on smooth projective surfaces and their moduli spaces. We investigate zero- and two-dimensional moduli spaces on K3 and abelian surfaces for unramified orders, so called Azumaya algebras. ... -
Oktaven und Reduktionstheorie
(2012-02-02)The thesis studies the split octonion algebra and its automorphism group. This group is a Lie group of Type G2. One object of the thesis is to look at methods introduced by Behrend, Harder ... -
On projective resolutions of simple modules over the Borel subalgebra S^+(n, r) of the Schur algebra S(n, r) for n ≤3
(2008-03-05)We construct projective resolutions for simple modules over the Borel subalgebras S^+(2,r) and S^+(3,r) of the Schur algebras S(2,r) and S(3,r) over a field of positive characteristic. In the case S^+(2,r) we get a minimal ... -
The Minkowski-Siegel Formula for quadratic bundles on curves
(2007-09-26)The subject of this thesis is the arithmetic theory of quadratic forms in the language of algebraic geometry. The main goal is to formulate and prove the Minkowski-Siegel formula for definite ... -
Drinfeld-Moduln und elliptische Garben
(2005-01-05)In this article we describe in detail the correspondence of Drinfeld modules and elliptic sheaves over an arbitary base. Then we include the concept of level structures into the correspondence. ... -
Ramanujan Regular Hypergraphs based on special Affine Bruhat-Tits Buildings
(2004-02-11)This dissertation is mainely about Ramanujan graphs and Hypergraphs, which are constracted with arithmetical tools. The unitgroups of Quaternions and division algebras play an important ...