Solving Diophantine Problems Over All Residue Class Fields of a Number Field and All Finite Fields
Solving Diophantine Problems Over All Residue Class Fields of a Number Field and All Finite Fields
复制标题
求解数域和所有有限域的所有留数类域的丢番图问题
DOI：
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发表时间：
1976
期刊：
影响因子：
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通讯作者：
G. Sacerdote
中科院分区：
文献类型：
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作者：
M. Fried;G. Sacerdote
0.导言. 203历史和问题的解释203 B.逻辑学和消除理论的背景208 1.量词消去问题的推广。210 A.符号和术语210 B.弗罗贝纽斯符号212 C.伽罗瓦分层和丢番图问题的推广.213 2.交叉-联合过程215 A.有限域215 B上的交并过程。完美域上的交并过程217 3. Bertini和Noether定理的推广。219 4.数域的所有剩余类域上的丢番图问题。. 0.225 5.有限域上的丢番图问题。230埃的在固定有限域230 B的所有扩展上。在所有有限域上231
0. Introduction 203 A. History and explanation of the problem 203 B. Background from logic and elimination theory 208 1. Generalizing the quantifier elimination problem . 210 A. Notations and terminology 210 B. The Frobenius symbol 212 C. Galois stratification and generalization of the diophantine problem .213 2. The intersection-union process 215 A. The intersection-union process over a finite field 215 B. The intersection-union process over a perfect field 217 3. A generalization of the theorems of Bertini and Noether . 219 4. Diophantine problems over all residue class fields of a number field . . .225 5. Diophantine problems over finite fields . 230 A. Over all extensions of a fixed finite field 230 B. Over all finite fields 231