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

preprint2016arXivOpen access

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).

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

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