Topological rigidity of algebraic $\P_3$-bundles over curves

Alexander Schmitt

doi:10.1007/s10231-002-0061-1

Topological rigidity of algebraic $\P_3$-bundles over curves

Algebraic Geometry 2007-05-23 v1 Geometric Topology

Authors: 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 $g\ge 2$ .

Keywords

topological rigidity algebraic bundles projective manifolds ruled surfaces curves

Cite

@article{arxiv.math/0205023,
  title  = {Topological rigidity of algebraic $\P_3$-bundles over curves},
  author = {Alexander Schmitt},
  journal= {arXiv preprint arXiv:math/0205023},
  year   = {2007}
}