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摘要翻译：
每条复平面曲线C确定一个3×3矩阵P^8$的子方案S，其射影法锥(PNC)捕获C的精微不变量。在“平面曲线PGL(3)-平移的极限”中，我们得到了PNC的一个集合论描述，从而确定了一般元素与C同构的平面曲线族的所有可能极限。本文的主要结果是确定了PNC是一个圈；这是我们在“任意平面曲线的线性轨道”中计算任意平面曲线的PGL(3)-轨道闭包度的一个基本成分，这是一个自然计数意义的不变量。
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英文标题：
《Limits of PGL(3)-translates of plane curves, II》
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作者：
Paolo Aluffi, Carel Faber
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最新提交年份：
2009
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
Every complex plane curve C determines a subscheme S of the $P^8$ of 3x3 matrices, whose projective normal cone (PNC) captures subtle invariants of C. In "Limits of PGL(3)-translates of plane curves, I" we obtain a set-theoretic description of the PNC and thereby we determine all possible limits of families of plane curves whose general element is isomorphic to C. The main result of this article is the determination of the PNC as a cycle; this is an essential ingredient in our computation in "Linear orbits of arbitrary plane curves" of the degree of the PGL(3)-orbit closure of an arbitrary plane curve, an invariant of natural enumerative significance.
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PDF链接：
https://arxiv.org/pdf/0706.1304
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