Birational modifications of surfaces via unprojections

Details Birational modifications of surfaces via unprojections Birational modifications of surfaces via unprojections

2009-04-27

arxiv.org/abs/0904.4204v2

J. Algebra 323, 2510-2519 (2010)

Mathematics

Algebraic Geometry

12 pages, only minor changes

Scientific paper

We describe elementary transformations between minimal models of rational surfaces in terms of unprojections. These do not fit into the framework of Kustin-Miller unprojections as introduced by Papadakis and Reid, since we have to leave the world of projectively Gorenstein varieties. Also, our unprojections do not depend on the choice of the unprojection locus only, but need extra data corresponding to the choice of a divisor on this unprojection locus.

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