Rank 2 arithmetically Cohen-Macaulay vector bundles on blowing ups of the plane. (English) Zbl 1157.14309
Summary: Let \(X\) be the blowing up of \(\mathbf P^2\) at \(s \geq 1\) distinct points. Here we prove that any arithmetically Cohen-Macaulay rank 2 vector bundles on \(X\) is an extension of two line bundles.
MSC:
| 14J60 | Vector bundles on surfaces and higher-dimensional varieties, and their moduli |
| 14J26 | Rational and ruled surfaces |
