Shiji Lyu

collaborators

4 papers

math.AC2025

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

Shiji Lyu

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…

math.AG2022

On some properties of birational derived splinters

Shiji Lyu

A Noetherian reduced ring $A$ is called a birational derived splinter if for all proper birational maps $X \to Spec (A)$ , the canonical map $A \to R f_{*} O_{X}$ spl…

math.AC2022

Permanence properties of splinters via ultrapower

Shiji Lyu

We show that the splinter property ascends along regular residue field extensions, and along arbitrary regular maps in equal characteristic. We also study the splinter property of…

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

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

On some properties of birational derived splinters

Permanence properties of splinters via ultrapower

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