Holomorphic versus algebraic equivalence for deformations of real-algebraic CauchyRiemann manifolds Academic Article uri icon

abstract

  • We consider (small) algebraic deformations of germs of realalgebraic Cauchy-Riemann submanifolds in complex space and study the biholomorphic equivalence problem for such deformations. We show that two algebraic deformations of minimal holomorphically nondegenerate real-algebraic CR submanifolds are holomorphically equivalent if and only if they are algebraically equivalent.

published proceedings

  • Communications in Analysis and Geometry

author list (cited authors)

  • Lamel, B., & Mir, N.

citation count

  • 2

complete list of authors

  • Lamel, Bernhard||Mir, Nordine

publication date

  • January 2010