On the Classification of Decomposable Quantum Ruled Surfaces

摘要

In this paper, we will study quantum ruled surfaces defined by Van den Berghwith classification problem in mind. In particular, we will prove that "de-composable" quantum ruled surfaces over smooth projective curves X can beclassified in terms of geometric triples (X, G) where a E Aut X is an automor-phism of X and G E Pic X is an invertible Ox-module, as in the classificationof noncommutative projective curves and that of quantum projective planes.