科研之友
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摘要
We present a conjecture in Diophantine geometry concerning the construction of line bundles over smooth projective varieties over (Q) over bar. This conjecture, closely related to the Grothendieck period conjecture for cycles of codimension 1, is also motivated by classical algebraization results in analytic and formal geometry and in transcendence theory. Its formulation involves the consideration of D-group schemes attached to abelian schemes over algebraic curves over (Q) over bar. We also derive the Grothendieck period conjecture for cycles of codimension 1 in abelian varieties over (Q) over bar from a classical transcendence theorem la Schneider-Lang.
- 出版日期2013
