Doctoral Thesis
Lars Petersen
Line Bundles on T-Varieties
From 1 Nov 2005 to 11 Mar 2011
Advisor: Prof. Dr. Klaus Altmann
In a paper of 2005 Altmann and Hausen presented a complete description of n-dimensional affine T-varieties with an effective action of a k-dimensional algebraic torus in terms of proper polyhedral divisors living on semiprojective varieties of dimension n-k. One year later Altmann, Hausen and Süss generalized this construction to the non-affine case. My aim is it to describe line bundles or more generally vector bundles on affine and non-affine T-varieties in this picture, i.e. using the language of proper polyhedral divisors.
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