dc.contributor.author Dan, A. dc.date.accessioned 2017-01-10T14:41:45Z dc.date.available 2017-01-10T14:41:45Z dc.date.issued 2017-01-10 dc.identifier.uri http://hdl.handle.net/20.500.11824/346 dc.description.abstract In this article, we study the Hilbert scheme of effective divisors in smooth hypersurfaces in $\mathbb{P}^3$, a topic en_US not extensively studied. We prove that there exists such effective divisors $D$ satisfying the property: there exists infinitesimal deformations of $D$ not deforming the associated reduced scheme $D_{\mathrm{red}}$. We observe that such infinitesimal deformations contribute to non-reducedness of the corresponding Hilbert scheme. We finally introduce a concept of simple extension of curves and notice that the above mentioned property is preserved under simple extension of curves. dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.title Singularities of the Hilbert scheme of effective divisors en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.arxiv 1611.03027 dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/615655 en_US dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US
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