Smoothing semi-smooth Stable Godeaux surfaces

2021/05/03 by Barbara Fantechi, Fantechi, Barbara, Marco Franciosi +3
Mathematics · #14D15 #14J10 #14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2105.00786

openalex publication_date 2021/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that all the semi-smooth stable complex Godeaux surfaces, classified in [FPR18a], are smoothable, and that the moduli stack is smooth of the expected dimension 8 at the corresponding points.

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