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EnglishWe correct Proposition 3.12 and Lemma 3.13 of the paper published in Vol. 2013, No.13, pp.3006-3052. The corrections do not affect the other statements of the paper. In this note, we correct a flow in the statement of Proposition 3.12 of [1] which also leads to a modification in the statement of Lemma 3.13 of [1]. We recall that in this proposition one considers morphisms of schemes X ?→π Y ?→q S, where q is proper, flat, with equidimensional fibers of dimension n and π is finite, flat and surjective. Imposing certain conditions on the fibers it is claimed that the loci of s € S fulfilling these conditions are open subsets of S. A missing condition should be added and the correct version of Parts (g) and (h) of Proposition 3.12 should be as follows: (g) Ys has no embedded components and the discriminant scheme of π s : Xs → Ys is of pure codimension one and smooth; (h) Ys has no embedded components and the discriminant scheme of π s : Xs → Ys is of codimension one, irreducible and generically reduced.
Kanev, V. (2017). Corrigendum: Unirationality of hurwitz spaces of coverings of degree ≥ 5. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017(6), 1926-1927.
| Data di pubblicazione: | 2017 | |
| Titolo: | Corrigendum: Unirationality of hurwitz spaces of coverings of degree ≥ 5 | |
| Autori: | KANEV, Vassil (Corresponding) | |
| Citazione: | Kanev, V. (2017). Corrigendum: Unirationality of hurwitz spaces of coverings of degree ≥ 5. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017(6), 1926-1927. | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1093/imrn/rnw303 | |
| Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria | |
| Appare nelle tipologie: | 1.06 Lettera |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| rnw303.pdf | Articolo | Versione Editoriale | Open Access Visualizza/Apri |
http://hdl.handle.net/10447/490093
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