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arXiv · 1101.0847

The Chow ring of the moduli space of curves of genus zero

Mehdi Tavakol
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Abstract

After recalling several constructions of the moduli space of curves of genus zero by different people we give our alternative construction of the moduli space. This gives a simple description of the intersection ring of this space. We give a basis for the Chow groups and an explicit duality between the Chow groups in complementary degrees. There is a recursive description of this algebra by S. Keel. Our presentation is simpler in the sense that there are fewer generators and fewer relations and our description is explicit.

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Mehdi Tavakol. 2011-01-04. The Chow ring of the moduli space of curves of genus zero. https://arxiv.org/abs/1101.0847

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