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The algebraic reduction conjecture for compact Kähler varieties
Let $X$ be a compact Kähler variety. The algebraic reduction map of $X$ is a meromorphic fibration associated with the maximal algebraic subfield of the field of meromorphic functi…
Conjectureopenalgebraic-reduction kahler-geometryarXiv posted 2 days ago
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Pure transcendence conjecture for algebraic reductions of circle-bundle products
Pure transcendence conjecture. The field $\kappa(S_\lambda(L))$ is purely transcendental over $\mathbb{C}$ .
Conjectureopenalgebraic-reduction complex-geometry homogeneous-varietiesarXiv posted 2 days ago

The algebraic reduction conjecture for compact Kähler varieties