Parametric h-principle for holomorphic immersions with approximation

Dejan Kolarič

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arXiv · 1005.1274

Parametric h-principle for holomorphic immersions with approximation

Dejan Kolarič

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Abstract

We prove the parametric homotopy principle for holomorphic immersions of Stein manifolds into Euclidian space and the homotopy principle with approximation on holomorphically convex sets. We write an integration by parts like formula for the solution $f$ to the problem $Lf|_Σ=g$, where $L$ is a holomorphic vector field, semi-transversal to analytic variety $Σ$.

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Dejan Kolarič. 2010-05-07. Parametric h-principle for holomorphic immersions with approximation. https://arxiv.org/abs/1005.1274

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