A tight closure proof of Fujita's freeness conjecture for very ample line bundles

被引:14
作者
Smith, KE [1 ]
机构
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
关键词
D O I
10.1007/s002080000094
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this note is to give a simple algebraic proof of the following special case of Fujita's Freeness Conjecture:
引用
收藏
页码:285 / 293
页数:9
相关论文
共 11 条
[1]   EFFECTIVE FREENESS AND POINT SEPARATION FOR ADJOINT BUNDLES [J].
ANGEHRN, U ;
SIU, YT .
INVENTIONES MATHEMATICAE, 1995, 122 (02) :291-308
[2]   THE RAMIFICATION DIVISORS FOR BRANCHED-COVERINGS OF IPKN [J].
EIN, L .
MATHEMATISCHE ANNALEN, 1982, 261 (04) :483-485
[3]  
Ein L., 1993, J. Amer. Math. Soc., V6, P875
[4]   A characterization of rational singularities in terms of injectivity of Frobenius maps [J].
Hara, N .
AMERICAN JOURNAL OF MATHEMATICS, 1998, 120 (05) :981-996
[5]  
Hochster M., 1990, J AM MATH SOC, V3, P31
[6]   On Fujita's freeness conjecture for 3-folds and 4-folds [J].
Kawamata, Y .
MATHEMATISCHE ANNALEN, 1997, 308 (03) :491-505
[7]  
KOLLAR, 1997, P S PURE MATH 1, V62
[8]  
SIMIS A, ALGEBRAIC PROOF ZAKS
[9]  
Smith KE, 1997, J ALGEBRAIC GEOM, V6, P417
[10]   F-rational rings have rational singularities [J].
Smith, KE .
AMERICAN JOURNAL OF MATHEMATICS, 1997, 119 (01) :159-180