Alexander Polishchuk. Algebraic geometry of Poisson brackets. J. Math. Sci. (New York) 84 (1997), no. 5, 1413–1444. MathscinetzbMATHJournal
Brent Pym. Constructions and classifications of projective Poisson varieties. Lett. Math. Phys. 108 (2018), no. 3, 573–632. MathscinetzbMATHJournal arXiv
Textbooks Jean-Paul Dufour and Nguyen Zung. Poisson structures and their normal forms. Progress in Mathematics, 242. Birkhäuser Verlag, Basel, 2005. xvi+321 pp. MathscinetzbMATH
Camile Laurent-Gengoux; Anne Pichereau; Pol Vanhaecke. Poisson structures. Grundlehren der Mathematischen Wissenschaften, 347. Springer, Heidelberg, 2013. xxiv+461 pp. MathscinetzbMATH