%0 Journal Article %T Remarks on formal deformations and Batalin-Vilkovisky algebras %A Vadim Schechtman %J Mathematics %D 1998 %I arXiv %X This note consists of two parts. Part I is an exposition of (a part of) the V.Drinfeld's letter, [D]. The sheaf of algebras of polyvector fields on a Calabi-Yau manifold, equipped with the Schouten bracket, admits a structure of a Batalin-Vilkovisky algebra. This fact was probably first noticed by Z.Ran, [R]. Part II is devoted to some generalizations of this remark. %U http://arxiv.org/abs/math/9802006v2