Topology of Conjugate Varieties

Details Topology of Conjugate Varieties Topology of Conjugate Varieties

1994-10-05

arxiv.org/abs/alg-geom/9410002v1

Mathematics

Algebraic Geometry

LATEX, 27 pages

Scientific paper

Serre and Abelson have produced examples of non-homeomorphic conjugate varieties. We show that if the field of definition of a polarized projective variety coincides with its field of moduli then all of its conjugates have the same topological type. This extends the class of varieties known to posses conjugacy invariant to canonically embedded varieties. We also show that normal complete interswections in homogeneous varieties have this property.

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