2 problems

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Deformation invariance of pseudo-effectivity and uniruledness in Kähler families
Let $f:X\to S$ be a family from a Kähler variety $X$ onto a smooth, connected, and relatively compact curve $S$ . Assume that every fiber $X_t$ has canonical singularities. Deformat…
Conjectureopendeformation-theory kahler-geometry pseudo-effectivityarXiv posted 3 days ago
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The Kähler BDPP conjecture for the canonical bundle of the MRC quotient
Kähler BDPP conjecture. The results of Boucksom, Demailly, Păun and Peternell concerning the pseudo-effectivity of the canonical bundle of the MRC quotient should remain valid for…
Conjectureopencompact-kahler-manifolds pseudo-effectivity rational-connectednessarXiv posted 3 days ago

Deformation invariance of pseudo-effectivity and uniruledness in Kähler families