Relative Mmp Without Q-Factoriality

Janos Kollar

doi:10.3934/era.2021033

Relative Mmp Without Q-Factoriality

Janos Kollar

Mathematics

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

11 Scopus citations

Abstract

We consider the minimal model program for varieties that are not Q-factorial. We show that, in many cases, its steps are simpler than expected. The main applications are to log terminal singularities, removing the earlier Q-factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollar-Xu.

Original language	English (US)
Pages (from-to)	3193-3203
Number of pages	11
Journal	Electronic Research Archive
Volume	29
Issue number	5
DOIs	https://doi.org/10.3934/era.2021033
State	Published - Nov 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Minimal model
dlt singularity
vanishing theorems

Access to Document

10.3934/era.2021033

Cite this

@article{415bb170e21543bdb78feb83925ef8ba,

title = "Relative Mmp Without Q-Factoriality",

abstract = "We consider the minimal model program for varieties that are not Q-factorial. We show that, in many cases, its steps are simpler than expected. The main applications are to log terminal singularities, removing the earlier Q-factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollar-Xu.",

keywords = "Minimal model, dlt singularity, vanishing theorems",

author = "Janos Kollar",

year = "2021",

month = nov,

doi = "10.3934/era.2021033",

language = "English (US)",

volume = "29",

pages = "3193--3203",

journal = "Electronic Research Archive",

issn = "1935-9179",

publisher = "American Mathematical Society",

number = "5",

}

TY - JOUR

T1 - Relative Mmp Without Q-Factoriality

AU - Kollar, Janos

PY - 2021/11

Y1 - 2021/11

N2 - We consider the minimal model program for varieties that are not Q-factorial. We show that, in many cases, its steps are simpler than expected. The main applications are to log terminal singularities, removing the earlier Q-factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollar-Xu.

AB - We consider the minimal model program for varieties that are not Q-factorial. We show that, in many cases, its steps are simpler than expected. The main applications are to log terminal singularities, removing the earlier Q-factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollar-Xu.

KW - Minimal model

KW - dlt singularity

KW - vanishing theorems

UR - https://www.scopus.com/pages/publications/85120052705

UR - https://www.scopus.com/pages/publications/85120052705#tab=citedBy

U2 - 10.3934/era.2021033

DO - 10.3934/era.2021033

M3 - Article

AN - SCOPUS:85120052705

SN - 1935-9179

VL - 29

SP - 3193

EP - 3203

JO - Electronic Research Archive

JF - Electronic Research Archive

IS - 5

ER -

Relative Mmp Without Q-Factoriality

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this