Fano threefolds with canonical Gorenstein singularities and big degree
Ilya Karzhemanov
TL;DR
This paper classifies Fano threefolds with canonical Gorenstein singularities and a maximal anticanonical degree of 64, providing a comprehensive understanding of their structure.
Contribution
It offers a complete classification of Fano threefolds with specific singularities and degree, filling a gap in algebraic geometry.
Findings
Classification of Fano threefolds with degree 64
Identification of singularity types involved
Structural properties of classified threefolds
Abstract
We provide a complete classification of Fano threefolds X having canonical Gorenstein singularities and the anticanonical degree (-KX)^3 equal 64.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry