K-stability of Fano varieties: An algebro-geometric approach

Chenyang Xu

doi:10.4171/EMSS/51

K-stability of Fano varieties: An algebro-geometric approach

Chenyang Xu

Mathematics

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

59 Scopus citations

Abstract

We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach.

Original language	English (US)
Pages (from-to)	265-354
Number of pages	90
Journal	EMS Surveys in Mathematical Sciences
Volume	8
Issue number	1
DOIs	https://doi.org/10.4171/EMSS/51
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Fano varieties
K-moduli
K-stability

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10.4171/EMSS/51

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title = "K-stability of Fano varieties: An algebro-geometric approach",

abstract = "We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach.",

keywords = "Fano varieties, K-moduli, K-stability",

author = "Chenyang Xu",

note = "Publisher Copyright: {\textcopyright} 2021 European Mathematical Society.",

year = "2021",

doi = "10.4171/EMSS/51",

language = "English (US)",

volume = "8",

pages = "265--354",

journal = "EMS Surveys in Mathematical Sciences",

issn = "2308-2151",

publisher = "European Mathematical Society Publishing House",

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TY - JOUR

T1 - K-stability of Fano varieties

T2 - An algebro-geometric approach

AU - Xu, Chenyang

PY - 2021

Y1 - 2021

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AB - We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach.

KW - Fano varieties

KW - K-moduli

KW - K-stability

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U2 - 10.4171/EMSS/51

DO - 10.4171/EMSS/51

M3 - Article

AN - SCOPUS:85114711112

SN - 2308-2151

VL - 8

SP - 265

EP - 354

JO - EMS Surveys in Mathematical Sciences

JF - EMS Surveys in Mathematical Sciences

IS - 1

ER -

K-stability of Fano varieties: An algebro-geometric approach

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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