Del Pezzo surfaces of degree four violating the hasse principle are Zariski dense in the moduli scheme

Jörg Jahnel; Damaris Schindler

doi:10.5802/aif.3122

Del Pezzo surfaces of degree four violating the hasse principle are Zariski dense in the moduli scheme

Jörg Jahnel
, Damaris Schindler

University of Siegen

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

Abstract

We show that, over every number field, the degree four del Pezzo surfaces that violate the Hasse principle are Zariski dense in the moduli scheme. Keywords: Del Pezzo surface, Hasse principle, moduli scheme.

Original language	English
Pages (from-to)	1783-1807
Number of pages	25
Journal	Annales de l'Institut Fourier
Volume	67
Issue number	4
DOIs	https://doi.org/10.5802/aif.3122
Publication status	Published - 1 Jan 2017

Keywords

Del Pezzo surface
Hasse principle
Moduli scheme

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10.5802/aif.3122Licence: CC BY-ND

AIF_2017__67_4_1783_0Final published version, 720 KBLicence: CC BY-ND

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title = "Del Pezzo surfaces of degree four violating the hasse principle are Zariski dense in the moduli scheme",

abstract = "We show that, over every number field, the degree four del Pezzo surfaces that violate the Hasse principle are Zariski dense in the moduli scheme. Keywords: Del Pezzo surface, Hasse principle, moduli scheme.",

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T1 - Del Pezzo surfaces of degree four violating the hasse principle are Zariski dense in the moduli scheme

AU - Jahnel, Jörg

AU - Schindler, Damaris

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N2 - We show that, over every number field, the degree four del Pezzo surfaces that violate the Hasse principle are Zariski dense in the moduli scheme. Keywords: Del Pezzo surface, Hasse principle, moduli scheme.

AB - We show that, over every number field, the degree four del Pezzo surfaces that violate the Hasse principle are Zariski dense in the moduli scheme. Keywords: Del Pezzo surface, Hasse principle, moduli scheme.

KW - Del Pezzo surface

KW - Hasse principle

KW - Moduli scheme

UR - https://www.scopus.com/pages/publications/85030626096

U2 - 10.5802/aif.3122

DO - 10.5802/aif.3122

M3 - Article

AN - SCOPUS:85030626096

SN - 0373-0956

VL - 67

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EP - 1807

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 4

ER -

Del Pezzo surfaces of degree four violating the hasse principle are Zariski dense in the moduli scheme

Abstract

Keywords

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