Finiteness of coherent cohomology for proper fppf stacks

被引:15
作者
Faltings, G [1 ]
机构
[1] Max Planck Inst Math, D-53111 Bonn, Germany
关键词
D O I
10.1090/S1056-3911-02-00321-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the result in the title for Noetherian fppf stacks, avoiding the use of Chow's lemma. Instead we employ simplicial schemes and shrinking-methods.
引用
收藏
页码:357 / 366
页数:10
相关论文
共 3 条
[1]  
Kiehl R., 1967, INVENT MATH, V2, P256, DOI DOI 10.1007/BF01425404
[2]  
Laumon G., 2000, Champs algebriques
[3]   CRITERIA OF FLATNESS AND PROJECTIVITY - TECHNIQUES FOR FLATTENING OF MODULES [J].
RAYNAUD, M ;
GRUSON, L .
INVENTIONES MATHEMATICAE, 1971, 13 (1-2) :1-&