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

• Autores: Takuro Abe
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 46, Nº 3, 2006, págs. 617-635
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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 $T_{\mathrm{P}^{2}} (-2)$.