Marcos José Valenzuela Nens

Local Lie algebra structure on the escape divisor of the Alpöge map

We study the pullback of the constant vector fields under Alpöge's polynomial map F=(P,Q,R): A³→A³ with constant Jacobian determinant −2. Near the generic point of the escape divisor t=0 (where t=1/z₁), we introduce a regular basis N, D₁, D₂ of the lifted derivations. Their exact...

Local Lie algebra structure on the escape divisor of the Alpöge map

We study the pullback of the constant vector fields under Alpöge's polynomial map F=(P,Q,R): A³→A³ with constant Jacobian determinant −2. Near the generic point of the escape divisor t=0 (where t=1/z₁), we introduce a regular basis N, D₁, D₂ of the lifted derivations. Their exact...