On the Cox ring of P^2 blown up in points on a line

Details On the Cox ring of P^2 blown up in points on a line On the Cox ring of P^2 blown up in points on a line

2009-01-27

arxiv.org/abs/0901.4277v5

Mathematics

Algebraic Geometry

7 pages, Final version, to appear in Math. Scand

Scientific paper

We show that the blow-up of P^2 in n points on a line has finitely generated
Cox ring. We give explicit generators for the ring and calculate its defining
ideal of relations.

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