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Topological rigidity of algebraic $¶_3$-bundles over curves

Alexander Schmitt
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Abstract

A projective algebraic surface which is homeomorphic to a ruled surface over a curve of genus $g\ge 1$ is itself a ruled surface over a curve of genus $g$. In this note, we prove the analogous result for projective algebraic manifolds of dimension 4 in case $g\ge 2$.

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Alexander Schmitt. 2002-05-02. Topological rigidity of algebraic $¶_3$-bundles over curves. https://doi.org/10.1007/s10231-002-0061-1

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