PreprintarXiv licencearXiv
Rational Points on Danielewski Surfaces over Finite fields and Polygonal Numbers
Abstract
We study the number of ๐ฝq-rational points on Danielewski and double Danielewski surfaces over the finite field ๐ฝq and show an interesting connection with the polygonal numbers.
Related
- Rational Points on Affine Varieties over Finite Fields and Polygonal Number Sequences
- Rational points on loxodromic K3 surfaces and complex dynamics
- On wall-crossing invariant combinations of Welschinger numbers for rational surfaces with a conic bundle
- Retriangular numbers and affine maps between polygonal numbers
- An incremental approximation to the prime-counting function via polygonal numbers
BibTeX
@misc{gupta2026rational,
title = {{Rational Points on Danielewski Surfaces over Finite fields and Polygonal Numbers}},
author = {Sakshi Gupta and Anit Kuckian and Indranath Sengupta},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.24821},
eprint = {2605.24821},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.24821},
}
RIS
TY - UNPB
TI - Rational Points on Danielewski Surfaces over Finite fields and Polygonal Numbers
AU - Sakshi Gupta
AU - Anit Kuckian
AU - Indranath Sengupta
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2605.24821
UR - https://arxiv.org/abs/2605.24821
AB - We study the number of ๐ฝ_q-rational points on Danielewski and double Danielewski surfaces over the finite field ๐ฝ_q and show an interesting connection with the polygonal numbers.
ER -