Yihui Liang

activity

20192025

most citedExplicit Stillman bounds for all degrees

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.AC2025

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 $R_{η}$ -sequence containing fixed $n$ forms of degree…

math.AC2022

Upper bounds for regularity of radicals of ideals and arithmetic degrees

Yihui Liang

Let $S$ be a polynomial ring in $n$ variables over a field. Let $I$ be a homogeneous ideal in $S$ generated by forms of degree at most $d$ with $dim (S / I) = r$ . In the first pa…

math.AC2020★ 1 cited

Explicit Stillman bounds for all degrees

Giulio Caviglia, Yihui Liang

In 2016 Ananyan and Hochster proved Stillman's conjecture by showing the existence of a uniform upper bound for the projective dimension of all homogeneous ideals, in polynomial ri…

math.AC2019

Degree bounds for Gröbner bases of modules

Yihui Liang

Let $F$ be a non-negatively graded free module over a polynomial ring $K [x_{1}, \dots, x_{n}]$ generated by $m$ basis elements. Let $M$ be a submodule of $F$ generated by elemen…