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

Alexey Elagin

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

Algebraic Geometry 2016-11-01 v2

Authors: Alexey Elagin

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).

Keywords

effective divisor smooth surface left-orthogonal strongly left-orthogonal line bundle exceptional pair

Cite

@article{arxiv.1610.02325,
  title  = {A criterion for left-orthogonality of an effective divisor on a surface},
  author = {Alexey Elagin},
  journal= {arXiv preprint arXiv:1610.02325},
  year   = {2016}
}

Comments

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

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