Stable Ulrich bundles on Fano threefolds with Picard number 2 |
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Authors: | Ozhan Genc |
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Institution: | Department of Mathematics, Middle East Technical University, Ankara, Turkey |
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Abstract: | In this paper, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of , Q (smooth quadric in ), (smooth cubic in ) or (complete intersection of two quadrics in ) along a smooth irreducible curve. We prove that the only class which admits Ulrich line bundles is the one obtained by blowing up a genus 3, degree 6 curve in . Also, we prove that there exist stable rank two Ulrich bundles with on a generic member of this deformation class. |
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Keywords: | Primary 14J60 |
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