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  • 1. Introduction
    • Idea of Proof
    • Acknowledgement
    • Notation and convention
  • 2. Preliminaries
    • 2.1. Semiorthogonal decompositions
    • 2.2. Orlov's semiorthogonal decompositions
    • 2.3. Full exceptional collections
    • 2.4. Mutations
  • 3. Exceptional collection of line bundles
    • 3.1. Basics of cohomologically zero line bundles
    • 3.2. Augmentation
  • 4. Blow-up a point in P3
    • 4.1. Geometry of X
    • 4.2. Cohomologically zero line bundles
    • 4.3. Classification results
  • 5. Blow-up a line in P3
    • 5.1. Geometry of X
    • 5.2. Cohomologically zero line bundles
    • 5.3. Classification results
  • 6. Blow-up a twisted cubic curve in P3
    • 6.1. Geometry of X
    • 6.2. Cohomologically zero line bundles
    • 6.3. Classification results
  • 7. Final remarks
  • References
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