The Iitaka conjecture Cn,m in dimension six

被引：18

作者：

Birkar, Caucher ^{[1
]}

机构：

[1] Univ Cambridge, DPMMS, Ctr Math Sci, Cambridge CB3 0WB, England

来源：

关键词：

Iitaka conjecture; minimal models; MINIMAL MODELS; VARIETIES;

D O I：

10.1112/S0010437X09004187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Iitaka conjecture C(n,m) for algebraic fibre spaces holds up to dimension six, that is, when n <= 6.

引用

页码：1442 / 1446

页数：5

共 18 条

[1] Nef dimension of minimal models [J].

Ambro, F .

[2]

[Anonymous], REDUCTION MAP NEF LI

[3]

BIRKAR C, 2008, ARXIV07061792V2

[4]

BIRKAR C, 2008, ARXIVMATH0610203V2

[5]

CAMPANA F, 2007, ARXIVMATH0405093V4

[6]

CHEN JA, MATH ANN IN PRESS

[7]

Fujino O, 2000, J DIFFER GEOM, V56, P167

[8]

KAWAMATA Y, 1985, J REINE ANGEW MATH, V363, P1

[9] ABUNDANCE THEOREM FOR MINIMAL THREEFOLDS [J].

KAWAMATA, Y .

[10] PLURICANONICAL SYSTEMS ON MINIMAL ALGEBRAIC-VARIETIES [J].

KAWAMATA, Y .