Chen Jiang

collaborators

3 papers

math.AG2025

Numerical invariants of hyper-Kähler manifolds

Olivier Debarre, Chen Jiang

We study various constraints on the Beauville quadratic form and the Huybrechts-Riemann-Roch polynomial for hyper-Kähler manifolds, mostly in dimension 6 and in the presence of an…

math.AG2025

An effective upper bound for Fano indices of canonical Fano threefolds, I

Chen Jiang, Haidong Liu

Let $X$ be a $Q$ -factorial weak Fano $3$ -fold with at worst isolated canonical singularities. We show that the $Q$ -Fano index of $X$ is at most $61$ .

math.AC2022

The facet ideals of chessboard complexes

Chengyao Jiang, Yakun Zhao, Hong Wang +1

In this paper we describe the irreducible decomposition of the facet ideal $\F(Δ_{m,n})$ of the chessboard complex $Δ_{m, n}$ with $n \geq m$ . We also provide some lower bounds for d…