Cheng Meng

activity

20242026

collaborators

9 papers

math.AC2026

Limits of $F$ -invariants and Riemann-Stieltjes integral

Cheng Meng

This paper proves several results on $F$ -invariants of Fermat hypersurfaces, including the proof of an inequality on the Hilbert-Kunz multiplicity of Fermat quadric hypersurfaces c…

math.AC2026

Hilbert-Kunz multiplicity of quadrics decreases

Cheng Meng

In this paper we prove that the Green ring of $Z / p^{e} Z$ is the $e$ -fold tensor product of the Green ring of $Z / p Z$ , and this isomorphism is given…

math.AC2026

Explicit Stillman bounds for all degrees

Giulio Caviglia, Yihui Liang, Cheng Meng

In 2016 Ananyan and Hochster proved Stillman's conjecture by showing the existence of a uniform upper bound on the length of an $R_{I^} \cdot$ -sequence containing fixed $n$ forms of degree…

math.RT2026

Asymptotic behavior of modular representations over abelian $p$ -groups

Cheng Meng

In this paper, we prove some results on the asymptotic behavior arising in modular representation theory over abelian $p$ -groups. First, we embed the representation ring of a cycli…

math.AC2025

Finiteness and infiniteness of gradings of Noetherian rings

Cheng Meng

In this paper we show that for a torsion-free abelian group $G$ , $rank_{Z} G < \infty$ if and only if there exists a Noetherian $G$ -graded ring $R$ such that the…

math.AC2025

Cheng Meng, Alapan Mukhopadhyay

Given ideals $I, J$ of a noetherian local ring $(R, m)$ such that $I + J$ is $m$ -primary and a finitely generated $R$ -module $M$ , we associate an invariant of $(M,…

Limits of F-invariants and Riemann-Stieltjes integral

Hilbert-Kunz multiplicity of quadrics decreases

Explicit Stillman bounds for all degrees

Asymptotic behavior of modular representations over abelian p-groups

Finiteness and infiniteness of gradings of Noetherian rings

h-function, Hilbert-Kunz density function and Frobenius-PoincarÃ© function

Limits of $F$ -invariants and Riemann-Stieltjes integral

Asymptotic behavior of modular representations over abelian $p$ -groups

$h$ -function, Hilbert-Kunz density function and Frobenius-PoincarÃ© function