On the Cox ring of $\mathbf{P}^2$ blown up in points on a line

Authors

  • John Christian Ottem

DOI:

https://doi.org/10.7146/math.scand.a-15175

Abstract

We show that the blow-up of $\mathbf{P}^2$ 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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Published

2011-09-01

Issue

Vol. 109 No. 1 (2011)

Section

Articles

How to Cite

[1]
J. C. Ottem, “On the Cox ring of $\mathbf{P}^2$ blown up in points on a line”, Math. Scand., vol. 109, no. 1, pp. 22–30, Sep. 2011, doi: 10.7146/math.scand.a-15175.