On T-divisors and intersections in M_1,3

2021/11/24 by Stephen Coughlan, Marco Franciosi, Coughlan, Stephen +7
Mathematics · #14J10 #14J17 #14J29 #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2111.12425

openalex publication_date 2021/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The moduli space of stable surfaces with K_X² = 1 and χ(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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