A criterion for left-orthogonality of an effective divisor on a surface

Abstract

We find a criterion for an effective divisor $D$ on a smooth surface to be left-orthogonal or strongly left-orthogonal (i.e. for the pair of line bundles $(\mathcal{O},\mathcal{O}(D))$ to be exceptional or strong exceptional).

This note is an extended chapter from the first version of our joint paper arXiv:1505.06477v1 with Valery Lunts. It was eliminated in the latter versions of the above paper. v2: acknowledgements added. 14 pages

Cited by in corpus (2)

• On exceptional collections of line bundles on weak del Pezzo surfaces
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