Abstract
The Cremona conjecture, also called Jacobi problem, claims that a polynomial morphism {{mathbb C}^n longrightarrow {mathbb C}^n} is invertible as a polynomial morphism if its Jacobian is constant and not zero. In this paper, we show that the conjecture is true for n = 2. The starting point of our proof is an important result of Shreeram Abhyankar. Then we use a computation in rigid geometry to achieve the result.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
