A theorem on pluricanonical maps of nonsingular minimal threefolds of general type

被引：0

作者：

Chen, M ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1998年 / 19卷 / 04期

关键词：

minimal model; pluricanonical map; composed of a pencil;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a complex nonsingular projective threefold of general type. It is shown that the dimension of the image of X through m-canonical maps is at least two for every m greater than or equal to 3.

引用

页码：415 / 420

页数：6

共 50 条

[21] PLURICANONICAL SYSTEMS ON ALGEBRAIC SURFACES OF GENERAL TYPE
KODAIRA, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1968, 20 (1-2) : 170 - +
[22] A Bernstein type theorem for minimal hypersurfaces via Gauss maps
Ding, Qi
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (11)
[23] On the finiteness theorem for rational maps on a variety of general type
Guerra, Lucio
Pirola, Gian Pietro
COLLECTANEA MATHEMATICA, 2009, 60 (03) : 261 - 276
[24] Pluricanonical systems on algebraic varieties of general type
Shigeharu Takayama
Inventiones mathematicae, 2006, 165
[25] On the geography of threefolds of general type
Chen, Jungkai A.
Hacon, Christopher D.
JOURNAL OF ALGEBRA, 2009, 321 (09) : 2500 - 2507
[26] On the finiteness theorem for rational maps on a variety of general type
Lucio Guerra
Gian Pietro Pirola
Collectanea mathematica, 2009, 60 : 261 - 276
[27] On threefolds of general type with χ = 1
Lei Zhu
manuscripta mathematica, 2009, 129 : 99 - 126
[28] On projective threefolds of general type
Chen, Jungkai A.
Chen, Meng
ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2007, 14 : 69 - 73
[29] Adjoint pluricanonical systems on varieties of general type
Di Biagio, Lorenzo
ADVANCES IN GEOMETRY, 2013, 13 (03) : 471 - 484
[30] PLURICANONICAL SYSTEMS ON ALGEBRAIC SURFACES OF GENERAL TYPE
KODAIRA, K
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1967, 58 (03) : 911 - &

← 1 2 3 4 5 →