Smooth projective toric varieties whose nontrivial nef line bundles are big

被引：9

作者：

Fujino, Osamu ^{[1
]}

Sato, Hiroshi ^{[2
]}

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Sakyo Ku, Kyoto 6068502, Japan

[2] Gifu Shotoku Gakuen Univ, Fac Econ & Informat, Gifu 5008288, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2009年 / 85卷 / 07期

关键词：

Toric variety; Mori theory; nef cone; pseudo-effective cone; CLASSIFICATION;

D O I：

10.3792/pjaa.85.89

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any n >= 3, we explicitly construct smooth projective toric n-folds of Picard number >= 5, where any nontrivial nef line bundles are big.

引用

页码：89 / 94

页数：6

共 12 条

[1] ON THE CLASSIFICATION OF SMOOTH PROJECTIVE TORIC VARIETIES [J].

BATYREV, VV .

TOHOKU MATHEMATICAL JOURNAL, 1991, 43 (04) :569-585

[2] Smooth complete toric threefolds with no nontrivial nef line bundles [J].

Fujino, O ;

Payne, S .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2005, 81 (10) :174-179

[3] On the Kleiman-Mori cone [J].

Fujino, O .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2005, 81 (05) :80-84

[4]

Fujino O, 2004, MICH MATH J, V52, P649

[5] Notes on toric varieties from Mori theoretic viewpoint [J].

Fujino, O .

TOHOKU MATHEMATICAL JOURNAL, 2003, 55 (04) :551-564

[6]

Fulton W., 1993, H ROEVER LECT GEOMET, V131

[7]

Lazarsfeld Laz04 R., 2004, Ergeb. Math. Grenzgeb., V49, DOI [10.1007/978-3-642-18808-4, DOI 10.1007/978-3-642-18808-4]

[8]

MATSUKI K, 1995, MEM AM MATH SOC, V116

[9] CLASSIFICATION OF FANO 3-FOLDS WITH B2 GREATER-THAN-OR-EQUAL TO 2 [J].

MORI, S ;

MUKAI, S .

MANUSCRIPTA MATHEMATICA, 1981, 36 (02) :147-162

[10]

Oda T., 1988, ERGEBNISSE MATH IHRE, V3, P15

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