Recovering plane curves from their bitangents
Recovering plane curves from their bitangents
复制标题
从双切线恢复平面曲线
DOI：
10.1090/s1056-3911-02-00307-7
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发表时间：
2000
影响因子：
1.8
通讯作者：
E. Sernesi
中科院分区：
文献类型：
--
作者：
L. Caporaso;E. Sernesi
我们表明，至少 4 次的一般平面曲线是由其全套双切线唯一确定的。这个问题有一个至少为 5 次的基本解，本文几乎完全致力于 4 次曲线，我们将结果推广到节点四次方程。换句话说，我们证明了 3 格的一般曲线可以从其 28 个奇数 θ 特征中恢复出来。
We show that a general plane curve of degree at least 4 is uniquely determined by the full set of its bitangent lines. This problem has an elementary solution for degree at least 5, and the paper is almost entirely devoted to curves of degree 4, where we generalize the result to nodal quartics. In other words, we show that a general curve of genus 3 can be recovered from its 28 odd theta-characteristics.