Work

Rational Points on Danielewski Surfaces over Finite fields and Polygonal Numbers

Year: 2026

Type: preprint

Abstract: We study the number of $\mathbb{F}_q$-rational points on Danielewski and double Danielewski surfaces over the finite field $\mathbb{F}_q$ and show an interesting connection with the polygonal numbers.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.24821

Authors: Gupta, Sakshi, Kuckian, Anit, Sengupta, Indranath

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Indian Institute of Technology Gandhinagar

OpenAlex ID: W7162401249

Cites:

Cited by: 1

Related to: 10