Weak Fano threefolds with del Pezzo fibration
Kiyohiko Takeuchi
TL;DR
This paper classifies smooth weak Fano threefolds with a specific extremal ray type, providing a comprehensive list of deformation types for most degrees, advancing understanding of their geometric structure.
Contribution
It offers a classification of smooth weak Fano 3-folds with extremal rays of type D, covering 47 deformation types for degrees other than 6.
Findings
Classified 47 deformation types of weak Fano 3-folds
Excluded degree 6 cases from the classification
Enhanced understanding of the structure of weak Fano threefolds
Abstract
This article treats smooth weak Fano 3-folds having an extremal ray of type D. Smooth weak Fano 3-folds with an extremal ray of type D except of degree 6 are classified into 47 deformation types.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology