MathDB3 problems
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Beauville–Bogomolov-type conjecture for Fujiki manifolds with trivial canonical bundle
Beauville–Bogomolov-type conjecture for Fujiki manifolds. The manifold should be made up from irreducible -trivial Kähler varieties—namely, tori, Calabi–Yau varieties, or ho…
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The conjecture on Fujiki manifolds with holomorphic Cartan geometries
Fujiki-manifold conjecture. If a Fujiki manifold admits a holomorphic Cartan geometry, then it admits a flat holomorphic Cartan geometry with the same model, and the Fujiki manifol…
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Decomposition conjecture for compact Fujiki manifolds with vanishing first Chern class
Decomposition Conjecture. Every compact Fujiki manifold with vanishing first Chern class admits such a finite étale cover and decomposition, together with the stated bimeromorphic…