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

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

2002-05-02

arxiv.org/abs/math/0205023v1

Annali di Matematica Pura ed Applicata, Volume 182, Number 2, May 2003, 201 - 210

Mathematics

Algebraic Geometry

11 pages; To appear in the Annali di Matematica Pura ed Applicata

Scientific paper

10.1007/s10231-002-0061-1

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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