Finite flat group schemes over local Artin rings

被引：1
|
作者：
Schoof, R [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
来源：
COMPOSITIO MATHEMATICA | 2001年 / 128卷 / 01期
关键词：
group scheme; Hopf algebra; deformations;
D O I：
10.1023/A:1017560215203
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a local Artin ring with maximal ideal m and residue class field of characteristic p > 0. We show that every finite flat group scheme over R is annihilated by its rank, whenever m(p) = pm = 0. This implies that any finite flat group scheme over an Artin ring the square of whose maximal ideal is zero, is annihilated by its rank.
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页码：1 / 15
页数：15
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