Boundedness of canonical Q-Fano 3-folds

János Kollár; Yoichi Miyaoka; Shigefumi Mori; Hiromichi Takagi

doi:10.3792/pjaa.76.73

Boundedness of canonical Q-Fano 3-folds

János Kollár, Yoichi Miyaoka, Shigefumi Mori, Hiromichi Takagi

Mathematics

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

53 Scopus citations

Abstract

We give an effective bound of the Gorenstein index of weak Q-Fano 3-folds, and prove the boundedness of the terminal Q-Fano 3-folds. Combined with [Bor99], this result implies furthermore the boundedness of the canonical Q-Fano 3-folds.

Original language	English (US)
Pages (from-to)	73-77
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	76
Issue number	5
DOIs	https://doi.org/10.3792/pjaa.76.73
State	Published - 2000

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Canonical singularity
Q-Fano variety
Terminal singularity

Access to Document

10.3792/pjaa.76.73

Cite this

@article{377381793e024b1fbfd7fbee2124540a,

title = "Boundedness of canonical Q-Fano 3-folds",

abstract = "We give an effective bound of the Gorenstein index of weak Q-Fano 3-folds, and prove the boundedness of the terminal Q-Fano 3-folds. Combined with [Bor99], this result implies furthermore the boundedness of the canonical Q-Fano 3-folds.",

keywords = "Canonical singularity, Q-Fano variety, Terminal singularity",

author = "J{\'a}nos Koll{\'a}r and Yoichi Miyaoka and Shigefumi Mori and Hiromichi Takagi",

year = "2000",

doi = "10.3792/pjaa.76.73",

language = "English (US)",

volume = "76",

pages = "73--77",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

publisher = "Japan Academy",

number = "5",

}

TY - JOUR

T1 - Boundedness of canonical Q-Fano 3-folds

AU - Kollár, János

AU - Miyaoka, Yoichi

AU - Mori, Shigefumi

AU - Takagi, Hiromichi

PY - 2000

Y1 - 2000

N2 - We give an effective bound of the Gorenstein index of weak Q-Fano 3-folds, and prove the boundedness of the terminal Q-Fano 3-folds. Combined with [Bor99], this result implies furthermore the boundedness of the canonical Q-Fano 3-folds.

AB - We give an effective bound of the Gorenstein index of weak Q-Fano 3-folds, and prove the boundedness of the terminal Q-Fano 3-folds. Combined with [Bor99], this result implies furthermore the boundedness of the canonical Q-Fano 3-folds.

KW - Canonical singularity

KW - Q-Fano variety

KW - Terminal singularity

UR - http://www.scopus.com/inward/record.url?scp=23044517623&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044517623&partnerID=8YFLogxK

U2 - 10.3792/pjaa.76.73

DO - 10.3792/pjaa.76.73

M3 - Article

AN - SCOPUS:23044517623

SN - 0386-2194

VL - 76

SP - 73

EP - 77

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 5

ER -

Boundedness of canonical Q-Fano 3-folds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this