Cusps of the K\"ahler moduli space and stability conditions on K3 surfaces

Understand

In [Ma1] S.

• Ma established a bijection between Fourier--Mukai partners of a K3 surface and cusps of the K\"ahler moduli space.
• The K\"ahler moduli space can be described as a quotient of Bridgeland's stability manifold.
• We study the relation between stability conditions $\sigma$ near to a cusp and the associated Fourier--Mukai partner Y in the following ways.