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Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds
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abstract
In this article we are mainly concerned with three dimensional compact K\"ahler spaces with log terminal singularities. We establish the orbifold version of the Bogomolov-Gieseker inequality for stable $\mathbb Q$-sheaves.
Forward citations
Cited by 4 Pith papers
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On K\"ahler-Einstein Currents
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For projective klt varieties with big canonical or anticanonical divisor, the Miyaoka-Yau Chern class inequality holds when intersections are taken with the non-pluripolar product.
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Semipositivity of the orbifold second Chern class in Fujiki's class
For compact normal analytic varieties in Fujiki's class, Miyaoka's inequality holds when the canonical divisor is nef, and the orbifold second Chern class is semipositive when the anti-canonical divisor is nef, under ...
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A note on orbifold regularity of canonical metrics
The canonical singular Ricci-flat Kähler metric on a compact Kähler log terminal Calabi-Yau variety is orbifold-smooth on the orbifold locus.
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