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arXiv · 2010.15799

A geographical study of $\overline{\mathcal M}_{2}(\mathbb{P}^2,4)^{\text{main}}$

Luca Battistella·Francesca Carocci
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Abstract

We discuss criteria for a stable map of genus two and degree $4$ to the projective plane to be smoothable, as an application of our modular desingularisation of $\overline{\mathcal M}_{2,n}(\mathbb{P}^r,d)^{\text{main}}$ via logarithmic geometry and Gorenstein singularities.

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Luca Battistella, Francesca Carocci. 2020-10-29. A geographical study of $\overline{\mathcal M}_{2}(\mathbb{P}^2,4)^{\text{main}}$. https://arxiv.org/abs/2010.15799

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