## Details

Original language | English |
---|---|

Number of pages | 32 |

Publication status | E-pub ahead of print - 24 Jul 2023 |

## Abstract

## Keywords

- math.NT, math.AG, 11D45 (Primary) 11G35, 11R11, 14G05, 14J26 (Secondary)

## Research Area (based on ÖFOS 2012)

- NATURAL SCIENCES
- Mathematics
- Mathematics
**Number theory**

## Cite this

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- BibTeX
- RIS

**Integral Points on a del Pezzo Surface over Imaginary Quadratic Fields.**/ Ortmann, Judith Lena.

2023.

Research output: Working paper/Preprint › Preprint

*Integral Points on a del Pezzo Surface over Imaginary Quadratic Fields*. Advance online publication. https://doi.org/10.48550/arXiv.2307.12877

}

TY - UNPB

T1 - Integral Points on a del Pezzo Surface over Imaginary Quadratic Fields

AU - Ortmann, Judith Lena

N1 - 32 pages

PY - 2023/7/24

Y1 - 2023/7/24

N2 - We characterise integral points of bounded log-anticanonical height on a quartic del Pezzo surface of singularity type $\mathbf{A}_3$ over imaginary quadratic fields with respect to its singularity and its lines. Furthermore, we count these integral points of bounded height by using universal torsors and interpret the count geometrically to prove an analogue of Manin's conjecture for the set of integral points with respect to the singularity and to a line.

AB - We characterise integral points of bounded log-anticanonical height on a quartic del Pezzo surface of singularity type $\mathbf{A}_3$ over imaginary quadratic fields with respect to its singularity and its lines. Furthermore, we count these integral points of bounded height by using universal torsors and interpret the count geometrically to prove an analogue of Manin's conjecture for the set of integral points with respect to the singularity and to a line.

KW - math.NT

KW - math.AG

KW - 11D45 (Primary) 11G35, 11R11, 14G05, 14J26 (Secondary)

M3 - Preprint

BT - Integral Points on a del Pezzo Surface over Imaginary Quadratic Fields

ER -