Difference equations in Witt vectors.

被引:2
作者
Bélair, L [1 ]
机构
[1] Univ Quebec, UQAM, Dept Math, Montreal, PQ H3C 3P8, Canada
关键词
D O I
10.1016/j.crma.2004.12.001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove an approximation property for Frobenius difference equations in the Witt vectors, analog to a theorem of Greenberg [Publ. Math. IHES 31 (1966) 59-64]. (C) 2004 Academie des sciences. Publie par Elsevier SAS. Tous droits reserves.
引用
收藏
页码:99 / 102
页数:4
相关论文
共 15 条
[1]   ULTRAPRODUCTS AND APPROXIMATION IN LOCAL RINGS-I [J].
BECKER, J ;
DENEF, J ;
LIPSHITZ, L ;
VANDENDRIES, L .
INVENTIONES MATHEMATICAE, 1979, 51 (02) :189-203
[2]   Integral valued difference rational functions over Witt vectors. [J].
Bélair, L .
COMPTES RENDUS MATHEMATIQUE, 2004, 339 (02) :83-86
[3]  
BELAIR L, MODEL THEORY FROBENI
[4]  
Buium A, 1996, MATH RES LETT, V3, P453
[5]  
COHN RM, 1965, DIFFERENCE ALGEBRA
[6]  
Duval A., 1983, Funkcial. Ekvac., V26, P349
[7]  
Greenberg M., 1964, Publ. Math. Inst. Hautes Etudes Sci., V31, P59, DOI 10.1007/BF02684802
[8]   STRICTLY LOCAL SOLUTIONS OF DIOPHANTINE EQUATIONS [J].
GREENBERG, MJ .
PACIFIC JOURNAL OF MATHEMATICS, 1974, 51 (01) :143-153
[9]  
Kochen, 1975, LECT NOTES MATH, V49, P384
[10]  
Kuhlmann F.-V., 2003, VALUATION THEORY ITS, V33, P323