Lazarsfeld-Mukai reflexive sheaves and their stability |
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Authors: | Poornapushkala Narayanan |
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Institution: | Department of Mathematics, Indian Institute of Technology Madras, Chennai, India |
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Abstract: | Consider an ample and globally generated line bundle L on a smooth projective variety X of dimension N≥2 over ?. Let D be a smooth divisor in the complete linear system of L. We construct reflexive sheaves on X by an elementary transformation of a trivial bundle on X along certain globally generated torsion-free sheaves on D. The dual reflexive sheaves are called the Lazarsfeld-Mukai reflexive sheaves. We prove the μL-(semi)stability of such reflexive sheaves under certain conditions. |
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Keywords: | Reflexive sheaves (semi)stability |
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