activity
20132022
most citedBoundedness of -Fano varieties with degrees and alpha-invariants bounded from below

60 citations · 147 across the 14 of their papers we have counts for

collaborators

14 papers

math.AG2022★ 1 cited

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…

math.AG2021★ 4 cited

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 $…

math.AG2020★ 4 cited

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))…

math.AG2019★ 11 cited

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…

math.AG2017★ 6 cited

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…

math.AG2017★ 60 cited

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…