Algebraic varieties over PAC fields

被引：2

作者：

Kollar, Janos ^{[1
]}

机构：

[1] Princeton Univ, Princeton, NJ 08544 USA

来源：

基金：

美国国家科学基金会;

关键词：

Algebraic Variety; Plane Curve; Smooth Point; Galois Closure; Cremona Transformation;

D O I：

10.1007/s11856-007-0073-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper answers problems 2 and 3 of the list of open problems in the 2005 edition of Field Arithmetic by M. D. Fried and M. Jarden.

引用

页码：89 / 101

页数：13

共 6 条

[1] ELEMENTARY THEORY OF FINITE FIELDS
AX, J
[J]. ANNALS OF MATHEMATICS, 1968, 88 (02) : 239 - &
[2] PSEUDO ALGEBRAICALLY CLOSED FIELDS WITH NON-ARCHIMEDEAN REAL VALUATIONS
FREY, G
[J]. JOURNAL OF ALGEBRA, 1973, 26 (02) : 202 - 207
[3] FRIED M, 2005, SERIES MODERN SURVEY, V11
[4] Grothendieck A., 1965, Inst. Hautes Etudes Sci. Publ. Math, V24, P231, DOI 10.1007/BF02684322
[5] Hartshorne R., 1977, GRADUATE TEXT MATH, V52
[6] On the number of the cusps of cuspidal plane curves
Tono, K
[J]. MATHEMATISCHE NACHRICHTEN, 2005, 278 (1-2) : 216 - 221