论文标题

零属的稳定N点曲线的模量空间

The moduli space of stable n-pointed curves of genus zero

论文作者

Singh, Daniel

论文摘要

在本文中,我为零属的稳定N尖曲线的模量空间提供了新的描述,并明确指定了自然的同构和它们之间的逆向,从而保留了许多重要特性。我还为这个空间的通用曲线提供了自然描述。这些描述是明确的,并以直接的方式定义。我还计算了这个空间的切线束。在论文的第二部分中,我从上面的描述中计算了普通的积分共同体环,并为其指定基础。

In this thesis I give a new description for the moduli space of stable n pointed curves of genus zero and explicitly specify a natural isomorphism and inverse between them that preserves many important properties. I also give a natural description for the universal curve of this space. These descriptions are explicit and defined in a straight forward way. I also compute the tangent bundle of this space. In the second part of the thesis I compute the ordinary integral cohomology ring from the above description and specify a basis for it.

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