Stable ulrich bundles on fano 3-folds with picard number 2

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2016

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Genç, Özhan

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In this thesis, we consider the existence problem of rank one and two stable Ulrich bundles on imprimitive Fano 3-folds obtained by blowing-up one of P^3, Q (smooth quadric in P^4), V3 (smooth cubic in P^4) or V4 (complete intersection of two quadrics in P^5) 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 P^3. Also, we prove that there exist stable rank two Ulrich bundles with c1 = 3H on a generic member of this deformation class.

Subject Keywords

Vector bundles., Picard number.

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http://etd.lib.metu.edu.tr/upload/12620201/index.pdf
https://hdl.handle.net/11511/25839

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

Ö. Genç, “Stable ulrich bundles on fano 3-folds with picard number 2,” Ph.D. - Doctoral Program, Middle East Technical University, 2016.