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arXiv · 1108.4617

Comparison of two desingularization of the Kontsevich's moduli space of elliptic stable maps

Hyenho Lho
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Abstract

It is known that the main component of the Kontsevich's moduli space of elliptic stable maps is singular. There are two different desingularizations. One is Vakil-Zinger's desingularization and the other is the moduli space of logarithmic stable maps. When the degree is less then or equal to 3 and the target is $\mathbb{P}^{n}$, we show that the moduli space of logarithmic stable maps can be obtained by blowing up Vakil-Zinger's desingularization.

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Hyenho Lho. 2011-09-05. Comparison of two desingularization of the Kontsevich's moduli space of elliptic stable maps. https://arxiv.org/abs/1108.4617

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