Deformations of T-log-symplectic log-canonical Poisson structures and symmetric Poisson CGL extensions

Jiang-Hua Lu, Mykola Matviichuk

For a complex algebraic torus $\mathbb{T}$, we study $\mathbb{T}$-invariant Poisson deformations of a $\mathbb{T}$-log-symplectic log-canonical Poisson structure $\ddot{I}{€}_0$ on $\mathbb…