A note on Kollár valuations

Yuchen Liu; Chenyang Xu

doi:10.1007/s11425-024-2310-2

A note on Kollár valuations

Yuchen Liu, Chenyang Xu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the set of Kollár valuations in the dual complex of a klt singularity with a fixed complement is path connected. We also classify the case when the dual complex is one-dimensional.

Original language	English (US)
Journal	Science China Mathematics
DOIs	https://doi.org/10.1007/s11425-024-2310-2
State	Accepted/In press - 2024

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

dual complex
finite generation
klt singularities
Kollár valuations

Access to Document

10.1007/s11425-024-2310-2

Cite this

@article{59bca07254a44771bdff4d9ac4f83d1f,

title = "A note on Koll{\'a}r valuations",

abstract = "We prove the set of Koll{\'a}r valuations in the dual complex of a klt singularity with a fixed complement is path connected. We also classify the case when the dual complex is one-dimensional.",

keywords = "dual complex, finite generation, klt singularities, Koll{\'a}r valuations",

author = "Yuchen Liu and Chenyang Xu",

note = "Publisher Copyright: {\textcopyright} Science China Press 2024.",

year = "2024",

doi = "10.1007/s11425-024-2310-2",

language = "English (US)",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science China Press",

}

TY - JOUR

T1 - A note on Kollár valuations

AU - Liu, Yuchen

AU - Xu, Chenyang

N1 - Publisher Copyright: © Science China Press 2024.

PY - 2024

Y1 - 2024

N2 - We prove the set of Kollár valuations in the dual complex of a klt singularity with a fixed complement is path connected. We also classify the case when the dual complex is one-dimensional.

AB - We prove the set of Kollár valuations in the dual complex of a klt singularity with a fixed complement is path connected. We also classify the case when the dual complex is one-dimensional.

KW - dual complex

KW - finite generation

KW - klt singularities

KW - Kollár valuations

UR - http://www.scopus.com/inward/record.url?scp=85196427961&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85196427961&partnerID=8YFLogxK

U2 - 10.1007/s11425-024-2310-2

DO - 10.1007/s11425-024-2310-2

M3 - Article

AN - SCOPUS:85196427961

SN - 1674-7283

JO - Science China Mathematics

JF - Science China Mathematics

ER -

A note on Kollár valuations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this