共轴平面代数曲线族
代数几何
2026-05-19 v2 复变函数
摘要
我们研究共享相同焦点集合的平面代数曲线族。我们通过等古典族上的焦点映射来重构共轴性，并利用形变理论分析其纤维结构。
引用
@article{arxiv.2604.25293,
title = {Confocal families of plane algebraic curves},
author = {Ragni Piene and Boris Shapiro},
journal= {arXiv preprint arXiv:2604.25293},
year = {2026}
}
备注
Keywords and subclass added. definition of the class adjoint line bundle corrected and the related spectral sequence and theorem slightly changed. This does not affect the main results