比较完美和第二Voronoi分解：拟阵轨迹
Comparing Perfect and 2nd Voronoi decompositions: the matroidal locus
摘要：
本文比较了正定二次型锥的两种有理多面体容许分解：完全锥分解和第二Voronoi分解。我们确定哪些锥属于这两种分解，从而提供了一个肯定的答案，V.Alexeev和A。布鲁尼亚特作为应用，我们比较了主极化阿贝尔簇模空间的两个相关的环面紧化：完全锥紧化和第二Voronoi紧化.
英文摘要：
We compare two rational polyhedral admissible decompositions of the cone of positive definite quadratic forms: the perfect cone decomposition and the 2nd Voronoi decomposition. We determine which cones belong to both the decompositions, thus providing a positive answer to a conjecture of V. Alexeev and A. Brunyate. As an application, we compare the two associated toroidal compactifications of the moduli space of principal polarized abelian varieties: the perfect cone compactification and the 2nd Voronoi compactification.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
