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http://hdl.handle.net/2445/197426
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DC Field | Value | Language |
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dc.contributor.author | Martinelli, Diletta | - |
dc.contributor.author | Naranjo del Val, Juan Carlos | - |
dc.contributor.author | Pirola, Gian Pietro | - |
dc.date.accessioned | 2023-05-02T08:39:38Z | - |
dc.date.available | 2023-05-02T08:39:38Z | - |
dc.date.issued | 2017-01-08 | - |
dc.identifier.issn | 1615-715X | - |
dc.identifier.uri | http://hdl.handle.net/2445/197426 | - |
dc.description.abstract | Let $X$ be an irreducible projective variety and let $f: X \rightarrow \mathbb{P}^n$ be a morphism. We give a new proof of the fact that the preimage of any linear variety of dimension $k \geq n+1-\operatorname{dim} f(X)$ is connected. We show that the statement is a consequence of the Generalized Hodge Index Theorem using easy numerical arguments that hold in any characteristic. We also prove the connectedness Theorem of Fulton and Hansen as an application of our main theorem. | - |
dc.format.extent | 8 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Walter de Gruyter | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1515/advgeom-2016-0028 | - |
dc.relation.ispartof | Advances in Geometry, 2017, vol. 17, num. 1, p. 31-38 | - |
dc.relation.uri | https://doi.org/10.1515/advgeom-2016-0028 | - |
dc.rights | (c) Walter de Gruyter, 2017 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Superfícies algebraiques | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Algebraic surfaces | - |
dc.title | Connectedness Bertini Theorem via numerical equivalence | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 647362 | - |
dc.date.updated | 2023-05-02T08:39:38Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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647362.pdf | 659 kB | Adobe PDF | View/Open |
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