K-stable Fano threefolds of rank 2 and degree 30
Ivan Cheltsov, Jihun Park
TL;DR
This paper classifies all K-stable smooth Fano threefolds within a specific family, providing a complete understanding of their stability properties in that context.
Contribution
It identifies and characterizes all K-stable smooth Fano threefolds in family No. 2.22, a previously unclassified subset.
Findings
All K-stable smooth Fano threefolds in family No. 2.22 are classified.
The stability conditions for these threefolds are explicitly determined.
The classification aids in understanding the moduli of Fano threefolds.
Abstract
We find all K-stable smooth Fano threefolds in the family No. 2.22.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology