## Compatible quadratic Poisson brackets related to a family of elliptic curves

Please always quote using this URN: urn:nbn:de:0297-zib-16097
• We construct nine pairwise compatible quadratic Poisson structures such that a generic linear combination of them is associated with an elliptic algebra in $n$ generators. Explicit formulas for Casimir elements of this elliptic Poisson structure are obtained.