论文标题
来自规范曲线的自偶式曲霉
Self-dual matroids from canonical curves
论文作者
论文摘要
Coble，Dolgachev-Ortland和Eisenbud-Popescu研究了在尺寸N-1的投影空间中2N点的自偶型配置。我们检查了由这种配置定义的自我偶发曲线和自偶有评估的矩阵，重点是由规范曲线的超平面部分产生的构型。这些对象是由自伴流的硕士及其热带化的参数化。我们将所有自偶像曲线制成至排名5并研究其实现空间。在Bath，Mukai和Petrakiev之后，我们探索了从配置中恢复曲线的算法。对图曲线产生的自偶像式矩阵进行了详细的分析。
Self-dual configurations of 2n points in a projective space of dimension n-1 were studied by Coble, Dolgachev-Ortland, and Eisenbud-Popescu. We examine the self-dual matroids and self-dual valuated matroids defined by such configurations, with a focus on those arising from hyperplane sections of canonical curves. These objects are parametrized by the self-dual Grassmannian and its tropicalization. We tabulate all self-dual matroids up to rank 5 and investigate their realization spaces. Following Bath, Mukai, and Petrakiev, we explore algorithms for recovering a curve from the configuration. A detailed analysis is given for self-dual matroids arising from graph curves.
