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4 papers
Remarks on very basic slc-trivial fibrations
Haidong Liu
We study very basic slc-trivial fibrations. We show that restricting on any lc center of a very basic slc-trivial fibration, its moduli part is numerically trivial if and only if i…
Boundedness of log pluricanonical representations of log Calabi-Yau pairs in dimension 2
Chen Jiang, Haidong Liu
We show the boundedness of B-pluricanonical representations of lc log Calabi-Yau pairs in dimension . As applications, we prove the boundedness of indices of slc log Calabi-Yau…
Fujita-type freeness for quasi-log canonical threefolds
Haidong Liu
In this paper, we show that Fujita's basepoint-freeness conjecture for projective quasi-log canonical singularities holds true in dimension three. Immediately, we prove Fujita-type…
Fujita-type freeness for quasi-log canonical curves and surfaces
Osamu Fujino, Haidong Liu
We prove Fujita-type basepoint-freeness for projective quasi-log canonical curves and surfaces.