On T‐divisors and intersections in the moduli space of stable surfaces M¯1,3M̄1,3

This is the authors' abstract. We don't add key points for this paper.

The moduli space of stable surfaces with K^2=1 and \χ=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.