K-stability of Fano threefolds of rank 4 and degree 24
Grigory Belousov, Konstantin Loginov

TL;DR
This paper proves that all smooth Fano threefolds with rank 4 and degree 24 are K-stable, confirming their stability property in algebraic geometry.
Contribution
It establishes the K-stability of a specific class of Fano threefolds, expanding the understanding of stability conditions in algebraic geometry.
Findings
All smooth Fano threefolds of rank 4 and degree 24 are K-stable.
The result contributes to the classification of K-stable Fano varieties.
Supports the Yau-Tian-Donaldson conjecture in this context.
Abstract
We prove that all smooth Fano threefolds of rank 4 and degree 24 are K-stable.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry
