Torsion in Griffiths Groups

Research output: Working paper/PreprintPreprint

Authors

  • Theodosis Alexandrou

Research Organisations

View graph of relations

Details

Original languageEnglish
Publication statusE-pub ahead of print - 7 Mar 2023

Abstract

We show that for any integer \(n\geq2\) there is a smooth complex projective variety \(X\) of dimension \(5\) whose third Griffiths group \(\text{Griff}^{3}(X)\) contains infinitely many torsion elements of order \(n\). This generalises a recent theorem of Schreieder who proved the result for \(n=2\).

Keywords

    math.AG, 14C25, 14J28

Cite this

Torsion in Griffiths Groups. / Alexandrou, Theodosis.
2023.

Research output: Working paper/PreprintPreprint

Alexandrou, T 2023 'Torsion in Griffiths Groups'.
Alexandrou, T. (2023). Torsion in Griffiths Groups. Advance online publication.
Alexandrou T. Torsion in Griffiths Groups. 2023 Mar 7. Epub 2023 Mar 7.
Alexandrou, Theodosis. / Torsion in Griffiths Groups. 2023.
Download
@techreport{2dda6457a19d42b4a4b199c11919b3cd,
title = "Torsion in Griffiths Groups",
abstract = " We show that for any integer \(n\geq2\) there is a smooth complex projective variety \(X\) of dimension \(5\) whose third Griffiths group \(\text{Griff}^{3}(X)\) contains infinitely many torsion elements of order \(n\). This generalises a recent theorem of Schreieder who proved the result for \(n=2\). ",
keywords = "math.AG, 14C25, 14J28",
author = "Theodosis Alexandrou",
note = "25 pages",
year = "2023",
month = mar,
day = "7",
language = "English",
type = "WorkingPaper",

}

Download

TY - UNPB

T1 - Torsion in Griffiths Groups

AU - Alexandrou, Theodosis

N1 - 25 pages

PY - 2023/3/7

Y1 - 2023/3/7

N2 - We show that for any integer \(n\geq2\) there is a smooth complex projective variety \(X\) of dimension \(5\) whose third Griffiths group \(\text{Griff}^{3}(X)\) contains infinitely many torsion elements of order \(n\). This generalises a recent theorem of Schreieder who proved the result for \(n=2\).

AB - We show that for any integer \(n\geq2\) there is a smooth complex projective variety \(X\) of dimension \(5\) whose third Griffiths group \(\text{Griff}^{3}(X)\) contains infinitely many torsion elements of order \(n\). This generalises a recent theorem of Schreieder who proved the result for \(n=2\).

KW - math.AG

KW - 14C25, 14J28

M3 - Preprint

BT - Torsion in Griffiths Groups

ER -