K-stability of Fano varieties - meaning and definition. What is K-stability of Fano varieties
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What (who) is K-stability of Fano varieties - definition


K-stability of Fano varieties         
In mathematics, and in particular algebraic geometry, K-stability is an algebro-geometric stability condition for projective algebraic varieties and complex manifolds. K-stability is of particular importance for the case of Fano varieties, where it is the correct stability condition to allow the formation of moduli spaces, and where it precisely characterises the existence of Kähler–Einstein metrics.
Fano variety         
TYPE OF ALGEBRAIC VARIETY
Fano scheme; Fano 3-fold; Fano threefold; Fano varieties; Fano manifolds; Fano manifold
In algebraic geometry, a Fano variety, introduced by Gino Fano in , is a complete variety X whose anticanonical bundle KX* is ample. In this definition, one could assume that X is smooth over a field, but the minimal model program has also led to the study of Fano varieties with various types of singularities, such as terminal or klt singularities.
Secondary stability         
BOAT'S ABILITY TO RIGHT ITSELF
Secondary Stability; Draft:Secondary Stability
Secondary stability, also known as reserve stability, is a boat or ship's ability to right itself at large angles of heel (lateral tilt), as opposed to primary or initial stability, the boat's tendency to stay laterally upright when tilted to low (http://newboatbuilders.com/docs/stability.