Generalizations of local bijectivity of Keller maps and a proof of 2-dimensional Jacobian conjecture

2016/03/06 by Su, Yucai
#13B10 #13B25 #14E20 #14R15 #17B63 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1603.01867

Abstract

Using the local bijectivity of Keller maps, we give a proof of two-dimensional Jacobian conjecture.

Related

• Frameworks for two-dimensional Keller maps
• Injectivity of Keller Mappings
• The intrinsic topology of linear maps
• There are no Keller maps having prime degree field extensions
• Verification of the Jacobian Conjecture for d-linear maps in two\n variables