60 citations · 147 across the 14 of their papers we have counts for
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Characterizing terminal Fano threefolds with the smallest anti-canonical volume, II
Chen Jiang
It was proved by J.~A.~Chen and M.~Chen that a terminal Fano -fold satisfies . We show that a -factorial terminal Fano -fold w…
Characterizing terminal Fano threefolds with the smallest anti-canonical volume
Chen Jiang
It was proved by J. A. Chen and M. Chen that a terminal Fano -fold satisfies . We show that a non-rational -factorial terminal Fano $…
Positivity of Riemann-Roch polynomials and Todd classes of hyperkähler manifolds
Chen Jiang
For a hyperkähler manifold of dimension , Huybrechts showed that there are constants such that $$χ(L) =\sum_{i=0}^n\frac{a_{2i}}{(2i)!}q_X(c_1(L))…
A gap theorem for minimal log discrepancies of non-canonical singularities in dimension three
Chen Jiang
We show that there exists a positive real number such that for any normal quasi-projective -Gorenstein -fold , if has worse than canonical singularities…
On the anti-canonical geometry of weak -Fano threefolds, II
Meng Chen, Chen Jiang
By a canonical (resp. terminal) weak -Fano -fold we mean a normal projective one with at worst canonical (resp. terminal) singularities on which the anti-canonical d…
Boundedness of -Fano varieties with degrees and alpha-invariants bounded from below
Chen Jiang
We show that -Fano varieties of fixed dimension with anti-canonical degrees and alpha-invariants bounded from below form a bounded family. As a corollary, K-semistable…