Planar surfaces in positive characteristic

被引：0

作者：

Voloch, Jose Felipe ^{[1
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2016年 / 10卷 / 01期

关键词：

Planar surfaces; Tangent lines; Positive characteristic;

D O I：

10.1007/s40863-015-0011-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A planar surface is a surface in three-space in which every tangent line has triple or higher contact with the surface at the point of tangency. We study properties of planar surfaces in positive characteristics, use that to bound the number of points of a planar surface over a finite field and give an application to Waring's problem for polynomials.

引用

页码：1 / 8

页数：8

共 11 条

[1] SUMS OF (pr+1)-TH POWERS IN THE POLYNOMIAL RING Fpm [T]
Car, Mireille
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (06) : 1139 - 1161
[2] Ellenberg J. S., ARXIV13111479
[3] HEFEZ A, 1989, COMPOS MATH, V69, P3
[4] Hirschfeld JWP., 1985, FINITE PROJECTIVE SP
[5] Kollar J., ARXIV14044613
[6] THE UNRESTRICTED VARIANT OF WARING'S PROBLEM IN FUNCTION FIELDS
Liu, Yu-Ru
Wooley, Trevor D.
[J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2007, 37 (02) : 285 - 291
[7] WARING PROBLEM FOR THE RING OF POLYNOMIALS
NEWMAN, DJ
SLATER, M
[J]. JOURNAL OF NUMBER THEORY, 1979, 11 (04) : 477 - 487
[8] STOHR KO, 1986, P LOND MATH SOC, V52, P1
[9] Vaserstein L., 1992, P WORKSH AR FUNCT FI, P435
[10] Voloch, 2003, CONT MATH, V324, P219

← 1 2 →