We study linear series on a general curve of genus g , whose images are exceptional with respect to their secant planes. Each such exceptional secant plane is algebraically encoded by an included linear series, whose number of base points computes the incidence degree of the corresponding secant plane. With enumerative applications in mind, we construct a moduli scheme of inclusions of limit linear series with base points over families of nodal curves of compact type, which we then use to compute combinatorial formulas for the number of secant-exceptional linear series when the spaces of linear series and of inclusions are finite.

中文翻译：

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通过退化的一般曲线的割平面

我们研究了 g 属的一般曲线上的线性级数，其图像在割平面方面是异常的。每个这样的异常割线平面都由一个包含的线性系列代数编码，其基点数计算相应割线平面的关联度。考虑到枚举应用，我们构造了一个包含基点在紧型节点曲线族上的极限线性级数的模方案，然后我们用它来计算当空间为线性系列和夹杂物是有限的。