• Corpus ID: 235458442

On the Transcendence of Period Images

  title={On the Transcendence of Period Images},
  author={David Urbanik},
Let f : X Ñ S be a family of smooth projective algebraic varieties over a smooth connected base S, with everything defined over Q. Denote by V “ Rf ̊Zpiq the associated integral variation of Hodge structure on the degree 2i cohomology. We consider the following question: when can a fibre Vs above an algebraic point s P SpQq be isomorphic to a transcendental fibre Vs1 with s 1 P SpCqzSpQq? When V induces a quasi-finite period map φ : S Ñ ΓzD, conjectures in Hodge theory predict that such… 
2 Citations
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