The Cremona problem in dimension 2

Abstract The Cremona conjecture, also called Jacobi problem, claims that a polynomial morphism $${{\mathbb C}^n \longrightarrow {\mathbb C}^n}$$ C n ⟶ is invertible as if its Jacobian constant and not zero. In this paper, we show the conjecture true for $$n = 2$$ = 2 . starting point of our proof an important result Shreeram Abhyankar. Then use computation in rigid geometry to achieve result.