The classification of smooth toric weakened Fano 3-folds

被引：6

作者：

Sato, H ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

来源：

MANUSCRIPTA MATHEMATICA | 2002年 / 109卷 / 01期

关键词：

D O I：

10.1007/s002290200289

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a complete classification of toric weakened Fano 3-folds, that is, smooth toric weak Fano 3-folds which are not Fano but are deformed to smooth Fano 3-folds. There exist exactly 15 toric weakened Fano 3-folds up to isomorphisms.

引用

页码：73 / 84

页数：12

共 50 条

[1] The classification of smooth toric weakened Fano 3-folds
Hiroshi Sato
manuscripta mathematica, 2002, 109 : 73 - 84
[2] Terminal toric Fano 3-folds with numerical conditions
Sato, Hiroshi
Sumiyoshi, Ryota
KYOTO JOURNAL OF MATHEMATICS, 2022, 62 (01) : 163 - 178
[3] CLASSIFICATION OF LOGARITHMIC FANO 3-FOLDS
MAEDA, H
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1983, 59 (06) : 245 - 247
[4] Conifold degenerations of Fano 3-folds as hypersurfaces in toric varieties
Batyrev, Victor
Kreuzer, Maximilian
STRINGS, GAUGE FIELDS, AND THE GEOMETRY BEHIND: THE LEGACY OF MAXIMILIAN KREUZER, 2013, : 187 - 212
[5] ON FANO 3-FOLDS
CUTKOSKY, SD
MANUSCRIPTA MATHEMATICA, 1989, 64 (02) : 189 - 204
[6] DERIVED CATEGORIES OF TORIC FANO 3-FOLDS VIA THE FROBENIUS MORPHISM
Bernardi, Alessandro
Tirabassi, Sofia
MATEMATICHE, 2009, 64 (02): : 117 - 154
[7] Compactifications of contractible affine 3-folds into smooth Fano 3-folds with B2=2
Kishimoto, T
MATHEMATISCHE ZEITSCHRIFT, 2005, 251 (04) : 783 - 820
[8] BIREGULAR CLASSIFICATION OF FANO 3-FOLDS AND FANO MANIFOLDS OF COINDEX-3
MUKAI, S
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1989, 86 (09) : 3000 - 3002
[9] Compactifications of contractible affine 3-folds into smooth Fano 3-folds with B2=2
Takashi Kishimoto
Mathematische Zeitschrift, 2005, 251 : 783 - 820
[10] Integral cohomology of some smooth complex toric 3-folds
Pouyanne, N
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (01): : 61 - 66

← 1 2 3 4 5 →