An independent (algebraic) proof is given of the factorization property Grand Jacobian corresponding to anticanonical transformations in BV formalism.

Divisors whose Jacobian ideal is of linear type have received a lot attention recently because its connections with the theory $D$-modules. In this work we are interested on divisors expected type, that is, gradient and relation coincides reduction number respect to plus one. We provide conditions in order be able describe precisely equations Rees algebra ideal. also relate some $D$-module theo...

The contact structure of two meromorphic curves gives a factorization of their jacobian. Section 1: Introduction Let J(F,G) = J(X,Y )(F,G) be the jacobian of F = F (X,Y ) and G = G(X,Y ) with respect to X and Y , i.e., let J(F,G) = FXGY − FY GX where subscripts denote partial derivatives. Here, to begin with, F and G are plane curves, i.e., polynomials in X and Y over an algebraically closed gr...

We give a proof of the two dimensional Jacobian conjecture. We also prove that if (F, G) is a Jacobian pair with deg y F ≥ 1, then F is a monic polynomial of y up to a scalar.