PAC fields over finitely generated fields

被引：6

作者：

Bary-Soroker, Lior ^{[1
]}

Jarden, Moshe ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math, IL-69978 Tel Aviv, Israel

来源：

MATHEMATISCHE ZEITSCHRIFT | 2008年 / 260卷 / 02期

关键词：

D O I：

10.1007/s00209-007-0276-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the following theorem for a finitely generated field K: Let M be a Galois extension of K which is not separably closed. Then M is not PAC over K.

引用

页码：329 / 334

页数：6

共 50 条

[1] PAC fields over finitely generated fields
Lior Bary-Soroker
Moshe Jarden
[J]. Mathematische Zeitschrift, 2008, 260 : 329 - 334
[2] On the Section Conjecture over Function Fields and Finitely Generated Fields
Saidi, Mohamed
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2016, 52 (03) : 335 - 357
[3] Height of varieties over finitely generated fields
Burgos Gil, Jose Ignacio
Philippon, Patrice
Sombra, Martin
[J]. KYOTO JOURNAL OF MATHEMATICS, 2016, 56 (01) : 13 - 32
[4] Arithmetic height functions over finitely generated fields
Moriwaki, A
[J]. INVENTIONES MATHEMATICAE, 2000, 140 (01) : 101 - 142
[5] Arithmetic height functions over finitely generated fields
Atsushi Moriwaki
[J]. Inventiones mathematicae, 2000, 140 : 101 - 142
[6] On the birational section conjecture over finitely generated fields
Saidi, Mohamed
Tyler, Michael
[J]. ALGEBRA & NUMBER THEORY, 2021, 15 (02) : 435 - 460
[7] Linear families of smooth hypersurfaces over finitely generated fields
Asgarli, Shamil
Ghioca, Dragos
Reichstein, Zinovy
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2023, 87
[8] ON EQUAL VALUES OF BINARY FORMS OVER FINITELY GENERATED FIELDS
BRINDZA, B
PINTER, A
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 1995, 46 (3-4): : 339 - 347
[9] A generalization of conjectures of Bogomolov and Lang over finitely generated fields
Moriwaki, A
[J]. DUKE MATHEMATICAL JOURNAL, 2001, 107 (01) : 85 - 102
[10] On the Bombieri-Lang conjecture over finitely generated fields
Bresciani, Giulio
[J]. ALGEBRA & NUMBER THEORY, 2022, 16 (10) : 2409 - +

← 1 2 3 4 5 →