Corrigendum to “A Severi type theorem for surfaces in ℙ⁶”

De Poi, Pietro; Ilardi, Giovanna

doi:10.1090/proc/16819

Corrigendum to “A Severi type theorem for surfaces in $\mathbb {P}^6$”
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by Pietro De Poi and Giovanna Ilardi;

Proc. Amer. Math. Soc. 152 (2024), 2715-2715

DOI: https://doi.org/10.1090/proc/16819

Published electronically: April 11, 2024

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Original Article: Proc. Amer. Math. Soc. 149 (2021), 591-605.

Abstract:

In Theorem 0.1 of the paper “A Severi type theorem for surfaces in $\mathbb {P}^6$” [Proc. Amer. Math. Soc. 149 (2021), pp. 591–605], we claimed to have given a complete classification of smooth surfaces in $\mathbb {P}^6$ with one 4-secant plane through the general point of $\mathbb {P}^6$, but the classification is still incomplete.

References

Pietro De Poi and Giovanna Ilardi, A Severi type theorem for surfaces in $\Bbb {P}^6$, Proc. Amer. Math. Soc. 149 (2021), no. 2, 591–605. MR 4198068, DOI 10.1090/proc/15263
Elvira Laura Livorni, On the existence of some surfaces, Algebraic geometry (L’Aquila, 1988) Lecture Notes in Math., vol. 1417, Springer, Berlin, 1990, pp. 155–179. MR 1040558, DOI 10.1007/BFb0083340