报告人：储俊妍（京都大学）
时间：2026年4月10日14:00-15:00
地点：数院新楼308
The Addition-Deletion theorem and Saito's criterion are two classical and foundational tools for characterizing free arrangements. Recently, there has been growing interest in understanding the algebraic structures of non-free arrangements. It is a natural objective to generalize these classical criteria into broader diagnostic tools for the non-free setting. In particular, Abe recently introduced a significant class of non-free arrangements known as strictly plus-one generated (SPOG) arrangements. He showed that deleting one hyperplane from a free arrangement yields an arrangement that is either free or SPOG. Motivated by this, we present generalized versions of both the Addition-Deletion theorem and Saito's criterion specifically tailored for SPOG arrangements, providing a new algebraic framework to characterize this important post-free class.
