Author

You-Ming Chen

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Preprint Oct 2026

Poincar\'e series of degree-two Chow varieties

Let $C_{p, 2}(\mathbb{P}^{n})$ denote the Chow variety parametrizing effective algebraic $p$-cycles of degree two on $\mathbb{P}^{n}$. We show that its rational cohomology is pure Tate and concentrated in even degrees. An anti-invariant Chern class identity yields a presentation of the cohomology ring as a fiber produc...

You-Ming Chen, Wen-Chuan Hu, De-Yuan Ma · 0 citations

Preprint Oct 2026

Chow groups of symmetric products of projective space

We prove that the integral cycle class map for $\SP^d(\PP^n)$ is split injective, with finite cokernel annihilated by $d!$,and we determine the ranks of Chow groups for $\mathrm{SP}^d(\mathbb{P}^n)$. Compatible integral transfer retractions show that $\CH_q(\SP^d(\PP^n))$ stabilizes for $d\geq q$. An explicit nonalgebr...

You-Ming Chen, Wen-Chuan Hu · 0 citations