Resumen de The stability of the family of $A_2$-type arrangements

Takuro Abe

• We give a necessary and sufficient condition for the stability and the freeness of the family of $A_{2}$-type arrangements. Moreover, we determine explicitly when the normalization of the sheafification of its module of reduced logarithmic vector fields is isomorphic to $T_{\mathrm{P}^{2}} (-2)$.