Shiji Lyu

activity

20222026

most citedThe relative minimal model program for excellent algebraic spaces and analytic spaces in equal characteristic zero

1 citations · 1 across the 8 of their papers we have counts for

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math.AC2025

$(S_{2})$ -ifications, semi-Nagata rings, and the lifting problem

Shiji Lyu

This is a two-part article. In the first part, we study an alternative notion to Nagata rings. A Nagata ring is a Noetherian ring $R$ such that every finite $R$ -algebra that is an…

math.AC2025

Uniform bounds in excellent $F_{p}$ -algebras and applications to semi-continuity

Shiji Lyu, Cheng Meng

We study two important numerical invariants, Hilbert--Kunz multiplicity and $F$ -signature, on the spectrum of a Noetherian $F_{p}$ -algebra $R$ that is not necessarily $F$ -fi…

math.AC2025

The Japanese and universally Japanese properties for valuation rings and Prüfer domains

Shiji Lyu

We discuss the Japanese and universally Japanese properties for valuation rings and Prüfer domains. These properties, regarding finiteness of integral closure, have been studied ex…

(S2​)-ifications, semi-Nagata rings, and the lifting problem

Uniform bounds in excellent Fp​-algebras and applications to semi-continuity

The Japanese and universally Japanese properties for valuation rings and Prüfer domains

$(S_{2})$ -ifications, semi-Nagata rings, and the lifting problem

Uniform bounds in excellent $F_{p}$ -algebras and applications to semi-continuity