Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Tschinkel, Yuri Prof. Dr."
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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. ... -
Geometry of universal torsors
(2006-11-08)We study the geometry and arithmetic of Del Pezzo surfaces. Important examples are cubic surfaces, which were already investigated by Cayley, Schläfli, Steiner, Clebsch, and Cremona in the ... -
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 ...