Product Theorem for K-stability
Jihun Park, Joonyeong Won
TL;DR
This paper investigates the K-stability properties of product varieties formed from K-stable $ ext{Q}$-Fano varieties, aiming to understand how stability behaves under product operations.
Contribution
It provides a theoretical result establishing the relationship between the K-stability of individual $ ext{Q}$-Fano varieties and their product.
Findings
K-stability of a product depends on the stability of factors
Conditions under which the product remains K-stable
Extension of K-stability criteria to product varieties
Abstract
We study K-stability of products of K-stable -Fano varieties.
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Taxonomy
TopicsGeometry and complex manifolds · Functional Equations Stability Results · Advanced Algebra and Geometry