Variations on Pascal's Theorem
Algebraic Geometry
2024-11-13 v1
Abstract
In this paper we present a variety of statements that are in the spirit of the famous theorem of Pascal, often referred to as the Mystic Hexagon. We give explicit equations describing the conditions for points to lie on rational normal curves. A collection of problems of Pascal type are considered for quadric surfaces in . Finally we reprove, using computer algebra methods, a remarkable theorem of Richmond, Segre, and Brown, for quadrics in containing five general lines.
Cite
@article{arxiv.2411.07638,
title = {Variations on Pascal's Theorem},
author = {Ciro Ciliberto and Rick Miranda},
journal= {arXiv preprint arXiv:2411.07638},
year = {2024}
}