Bochao Kong

activity

20212026

collaborators

6 papers

math.AG2026

Tautological Pushforwards of Hilbert Schemes of Points on Curves and Surfaces

Bochao Kong

Ellingsrud, Göttsche, and Lehn proved a remarkable universality result for tautological integrals on Hilbert schemes of points on surfaces. We prove a relative form: over a base $B…

math.AG2026

A counterexample to a global-dimension bound for weighted projective lines

Bochao Kong, Yeqin Liu, Yu Shen

We observe that standard derived equivalences give a counterexample to a conjecture of Kalck on global dimension for weighted projective lines. For the root stack $X=\mathbb{P}^1\l…

math.DG2026

Positive Scalar Curvature and Volume Growth

Bochao Kong, Xingyu Zhu

For a complete Riemannian manifold with nonnegative Ricci curvature, we prove two sharp volume growth order estimates, thereby resolve a conjecture of Gromov in 1986. There first i…

math.RA2026

A counterexample to Han's conjecture

Bochao Kong, Yeqin Liu, Yu Shen

There is a finite dimensional $C$ -algebra with $gldim (A) = \infty$ and $HH_{n} (A) = 0$ for $n \geq 1$ .

math.CO2025

To cover a permutohedron

Bochao Kong, Ji Zeng

The permutohedron $P_{n}$ of order $n$ is a polytope embedded in $R^{n}$ whose vertex coordinates are permutations of the first $n$ natural numbers. It is obvious that $P_{n}$ l…

math.AG2021

The Chow rings of moduli spaces of elliptic surfaces over $P^{1}$

Samir Canning, Bochao Kong

Let $E_{N}$ denote the coarse moduli space of smooth elliptic surfaces over $P^{1}$ with fundamental invariant $N$ . We compute the Chow ring $A^{*} (E_{N})$ for $N \geq 2$ . For each…