We show that all the semi-smooth stable complex Godeaux surfaces, classified in [M. Franciosi, R. Pardini and S. Rollenske, Ark. Mat. 56 (2018), no. 2, 299–317], are smoothable and that the moduli stack is smooth of the expected dimension 8 at the corresponding points.
Smoothing semi-smooth stable Godeaux surfaces / Fantechi, B.; Franciosi, M.; Pardini, R.. - In: ALGEBRAIC GEOMETRY. - ISSN 2214-2584. - 9:4(2022), pp. 502-512. [10.14231/AG-2022-015]
Smoothing semi-smooth stable Godeaux surfaces
Fantechi, B.;Pardini, R.
2022-01-01
Abstract
We show that all the semi-smooth stable complex Godeaux surfaces, classified in [M. Franciosi, R. Pardini and S. Rollenske, Ark. Mat. 56 (2018), no. 2, 299–317], are smoothable and that the moduli stack is smooth of the expected dimension 8 at the corresponding points.File in questo prodotto:
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