Rational points on a subanalytic surface

J Pila

Rational points on a subanalytic surface

J Pila

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

15 Citations (Scopus)

Abstract

Let X c R-n be a compact subanalytic surface. This paper shows that, in a suitable sense, there are very few rational points of X that do not lie on some connected semialgebraic curve contained in X.

Translated title of the contribution	Rational points on a subanalytic surface
Original language	English
Pages (from-to)	1501 - 1516
Number of pages	16
Journal	Annales de l'institut Fourier
Volume	55 (5)
Publication status	Published - 2005

Bibliographical note

Publisher: Annales de l'Institut Fourier, Inst de Mathematiques Pures
Other identifier: IDS Number: 977CI

Access to Document

http://aif.cedram.org/aif-bin/item?id=AIF_2005__55_5_1501_0

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title = "Rational points on a subanalytic surface",

abstract = "Let X c R-n be a compact subanalytic surface. This paper shows that, in a suitable sense, there are very few rational points of X that do not lie on some connected semialgebraic curve contained in X.",

author = "J Pila",

note = "Publisher: Annales de l'Institut Fourier, Inst de Mathematiques Pures Other identifier: IDS Number: 977CI ",

year = "2005",

language = "English",

volume = "55 (5)",

pages = "1501 -- 1516",

journal = "Ann.Inst.Fourier 46",

issn = "0373-0956",

publisher = "Association des Annales de l'Institut Fourier",

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TY - JOUR

T1 - Rational points on a subanalytic surface

AU - Pila, J

N1 - Publisher: Annales de l'Institut Fourier, Inst de Mathematiques Pures Other identifier: IDS Number: 977CI

PY - 2005

Y1 - 2005

N2 - Let X c R-n be a compact subanalytic surface. This paper shows that, in a suitable sense, there are very few rational points of X that do not lie on some connected semialgebraic curve contained in X.

AB - Let X c R-n be a compact subanalytic surface. This paper shows that, in a suitable sense, there are very few rational points of X that do not lie on some connected semialgebraic curve contained in X.

M3 - Article (Academic Journal)

VL - 55 (5)

SP - 1501

EP - 1516

JO - Ann.Inst.Fourier 46

JF - Ann.Inst.Fourier 46

SN - 0373-0956

ER -