ON THE FIRST STEPS OF THE MINIMAL MODEL PROGRAM FOR THE MODULI SPACE OF STABLE POINTED CURVES
ON THE FIRST STEPS OF THE MINIMAL MODEL PROGRAM FOR THE MODULI SPACE OF STABLE POINTED CURVES
复制标题
稳定点曲线模空间最小模型程序的第一步
DOI：
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发表时间：
2018
影响因子：
0.9
通讯作者：
Filippo Viviani
中科院分区：
文献类型：
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作者：
G. Codogni;L. Tasin;Filippo Viviani
摘要 本文的目的是研究稳定尖曲线模空间最小模型程序的所有自然第一步。我们证明它们接受模解释，并研究它们的几何性质。作为一个特例，我们恢复了前几个 Hassett-Keel 对数规范模型。作为副产品，我们从稳定尖曲线的模空间到尖曲线模空间的替代模射影紧化产生了许多双有理态射。
Abstract The aim of this paper is to study all the natural first steps of the minimal model program for the moduli space of stable pointed curves. We prove that they admit a modular interpretation, and we study their geometric properties. As a particular case, we recover the first few Hassett–Keel log canonical models. As a by-product, we produce many birational morphisms from the moduli space of stable pointed curves to alternative modular projective compactifications of the moduli space of pointed curves.
影响因子：
1.3
作者：
Giulio Codogni;Luca Tasin;Filippo Viviani
通讯作者：
Filippo Viviani