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An ampleness criterion for rank 2 vector bundles on surfaces
Published 1 Jun 2018 in math.AG | (1806.00243v1)
Abstract: We observe that the proof of the Bogomolov stable restriction theorem can be adapted to give an ampleness criterion for globally generated rank 2 vector bundles on certain surfaces. This applies to the Lazarsfeld-Mukai bundles, to congruences of lines in P3, and possibly to the construction of surfaces with ample cotangent bundle (help welcome!).
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