Youming Chen

activity

20172026

most citedPoisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras

4 citations · 9 across the 10 of their papers we have counts for

collaborators

11 papers

math.AG2026

Chow groups of symmetric products of projective spaces

Youming Chen, Wenchuan Hu

Let $SP^{d} (P^{n})$ denote the $d$ -th symmetric product of complex projective space. We prove that its integral cycle class map is split injective and has f…

math.AG2026

Lawson homology groups of Chow varieties

Youming Chen, Wenchuan Hu

Let $C_{p, d} (P^{n})$ denote the Chow variety of effective algebraic $p$ -cycles of degree $d$ in complex projective space $P^{n}$ . In this paper, we compute the ration…

math.AG2026

Chow groups of Chow varieties

Youming Chen, Wenchuan Hu

Let $C_{p, d} (P^{n})$ be the Chow variety of effective algebraic $p$ -cycles of degree $d$ in complex projective $n$ -space $P^{n}$ . In this paper, we compute the ration…

math.DG2022★ 2 cited

Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds

Youming Chen

The purpose of this paper is to study the properties of holomorphic Poisson manifolds $(M, π)$ under the assumption of $\partial \partial ˉ$ --lemma or $\partial_π\bar{\partial…

math.DG2022

Holomorphic Koszul-Brylinski homologies of Poisson blow-ups

Xiaojun Chen, Youming Chen, Song Yang +1

We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the $E_{1}$ -dege…

math.DG2021

Quantization for biharmonic maps from non-collapsed degenerating Einstein 4-manifolds

Youmin Chen, Miaomiao Zhu

For a sequence of extrinsic or intrinsic biharmonic maps $u_{j} : M_{j} \to N$ from a sequence of non-collapsed degenerating closed Einstein 4-manifolds $(M_{j}, g_{j})$ with bounded…