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arXiv · 2111.12425

On T-divisors and intersections in $\overline{M}_{1,3}$

Stephen Coughlan·Marco Franciosi·Rita Pardini·Julie Rana·Sönke Rollenske
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Abstract

The moduli space of stable surfaces with $K_X^2 = 1$ and $\chi(X) = 3$ has at least two irreducible components that contain surfaces with T-singularities. We show that the two known components intersect transversally in a divisor. Moreover, we exhibit other new boundary divisors and study how they intersect one another.

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Stephen Coughlan, Marco Franciosi, Rita Pardini, Julie Rana, Sönke Rollenske. 2021-11-24. On T-divisors and intersections in $\overline{M}_{1,3}$. https://arxiv.org/abs/2111.12425

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