Computational birational geometry of minimal rational surfaces

Details Computational birational geometry of minimal rational surfaces Computational birational geometry of minimal rational surfaces

2009-01-09

arxiv.org/abs/0901.1293v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

The classification of minimal rational surfaces and the birational links between them by Iskovskikh, Manin and others is a well-known subject in the theory of algebraic surfaces. We explain algorithms that realise links of type II between minimal del Pezzo surfaces, one of the major classes of birational links, and we describe briefly how this fits into a large project to implement the results of Iskovskikh's programme in Magma.

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