On the geometry of the Batalin-Vilkovisky Laplacian

We define a jet-space analogue of the BV-Laplacian, avoiding
delta-functions and infinite constants; instead we show that the main
properties of the BV-Laplacian, which is a necessary ingredient in the
quantisation of gauge-invariant systems of Euler-Lagrange equations, and
its relation to the Schouten bracket originate from the underlying
jet-space geometry.