English

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

Algebraic Geometry 2021-11-25 v1

Abstract

The moduli space of stable surfaces with KX2=1K_X^2 = 1 and χ(X)=3\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.

Keywords

Cite

@article{arxiv.2111.12425,
  title  = {On T-divisors and intersections in $\overline{M}_{1,3}$},
  author = {Stephen Coughlan and Marco Franciosi and Rita Pardini and Julie Rana and Sönke Rollenske},
  journal= {arXiv preprint arXiv:2111.12425},
  year   = {2021}
}

Comments

28 pages, 8 figures

R2 v1 2026-06-24T07:50:21.514Z