Singular plane sections and the conics in the Fermat quintic threefold
Algebraic Geometry
2022-04-11 v2
Abstract
We present explicit equations for the space of conics in the Fermat quintic threefold , working within the space of plane sections of with two singular marked points. This space of two-pointed singular plane sections has a birational morphism to the space of bitangent lines to the Fermat quintic threefold, which in its turn is birational to a 625-to-1 cover of We illustrate the use of the resulting equations in identifying special cases of one-dimensional families of conics in
Cite
@article{arxiv.2111.01588,
title = {Singular plane sections and the conics in the Fermat quintic threefold},
author = {Anca Mustata},
journal= {arXiv preprint arXiv:2111.01588},
year = {2022}
}