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Michael Albanese
Michael Albanese
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Vector bundles on Stein Manifoldsmanifolds

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Michael Albanese
Michael Albanese
  • 19.3k
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  • 87
  • 160

This might be standard if true (if so, I shall be grateful if provided with a reference). Given a smooth map from a Stein manifold X$X$ to Gr(k,n) $\operatorname{Gr}(k,n)$ (the Grassmannian of k$k$ planes in C^n$\mathbb{C}^n$), is there a holomorphic map in its homotopy class?

This might be standard if true (if so, I shall be grateful if provided with a reference). Given a smooth map from a Stein manifold X to Gr(k,n) (the Grassmannian of k planes in C^n), is there a holomorphic map in its homotopy class?

This might be standard if true (if so, I shall be grateful if provided with a reference). Given a smooth map from a Stein manifold $X$ to $\operatorname{Gr}(k,n)$ (the Grassmannian of $k$ planes in $\mathbb{C}^n$), is there a holomorphic map in its homotopy class?

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Vamsi
Vamsi
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Vector bundles on Stein Manifolds

This might be standard if true (if so, I shall be grateful if provided with a reference). Given a smooth map from a Stein manifold X to Gr(k,n) (the Grassmannian of k planes in C^n), is there a holomorphic map in its homotopy class?