刻画两个实射影二次曲线构型的方程、非方程与不等式
交换代数
2025-02-18 v3
摘要
恰当、非空实射影二次曲线的有序对可模刚性同位素与环绕同位素进行分类。我们用定义二次曲线的二次型系数中的方程、非方程与不等式来刻画这些类。这些结果很好地适用于研究由依赖参数的方程所定义的两个二次曲线的相对位置。
引用
@article{arxiv.math/0505628,
title = {Equations, inequations and inequalities characterizing the configurations of two real projective conics},
author = {Emmanuel Briand},
journal= {arXiv preprint arXiv:math/0505628},
year = {2025}
}
备注
31 pages. Related material at http://emmanuel.jean.briand.free.fr/publications/twoconics/. Version 2: Added references to important prior work on the subject. The title changed accordingly. Some typos and imprecisions corrected. Version 3: fix image formats that were not compatible anymore with compiling on arxiv. See errata at http://emmanuel.jean.briand.free.fr/publications/twoconics/errata.pdf