Title: On 𝐶𝑅-mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions
Abstract:We prove the algebraicity of smooth <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C upper R"> <mml:semantics> <mml:mrow> <mml:mi>C...We prove the algebraicity of smooth <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C upper R"> <mml:semantics> <mml:mrow> <mml:mi>C</mml:mi> <mml:mi>R</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">CR</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-mappings between algebraic Cauchy-Riemann manifolds. A generalization of separate algebraicity principle is established.Read More