Counting rational points on quartic del Pezzo surfaces with a rational conic

T. D. Browning; Efthymios Sofos

doi:10.1007/s00208-018-1716-6

Counting rational points on quartic del Pezzo surfaces with a rational conic

T. D. Browning, Efthymios Sofos^*

^*Corresponding author for this work

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

3 Citations (Scopus)

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Abstract

Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over (Formula presented.) that contains a conic defined over (Formula presented.).

Original language	English
Number of pages	40
Journal	Mathematische Annalen
Early online date	14 Jul 2018
DOIs	https://doi.org/10.1007/s00208-018-1716-6
Publication status	E-pub ahead of print - 14 Jul 2018

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title = "Counting rational points on quartic del Pezzo surfaces with a rational conic",

abstract = "Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over (Formula presented.) that contains a conic defined over (Formula presented.).",

author = "Browning, {T. D.} and Efthymios Sofos",

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T1 - Counting rational points on quartic del Pezzo surfaces with a rational conic

AU - Browning, T. D.

AU - Sofos, Efthymios

PY - 2018/7/14

Y1 - 2018/7/14

N2 - Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over (Formula presented.) that contains a conic defined over (Formula presented.).

AB - Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over (Formula presented.) that contains a conic defined over (Formula presented.).

UR - http://www.scopus.com/inward/record.url?scp=85049880423&partnerID=8YFLogxK

UR - https://arxiv.org/abs/1609.09057

U2 - 10.1007/s00208-018-1716-6

DO - 10.1007/s00208-018-1716-6

M3 - Article (Academic Journal)

SN - 0025-5831

JO - Mathematische Annalen

JF - Mathematische Annalen

ER -

Counting rational points on quartic del Pezzo surfaces with a rational conic

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