Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/220656
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dc.contributor.authorMiró-Roig, Rosa M. (Rosa Maria)-
dc.contributor.authorSalat Moltó, Martí-
dc.date.accessioned2025-04-28T07:17:01Z-
dc.date.available2025-04-28T07:17:01Z-
dc.date.issued2023-01-18-
dc.identifier.issn0373-3114-
dc.identifier.urihttps://hdl.handle.net/2445/220656-
dc.description.abstractWe solve the Ein-Lazarsfeld-Mustopa conjecture for the blow up of a projective space along a linear subspace. More precisely, let $X$ be the blow up of $\mathbb{P}^n$ at a linear subspace and let $L$ be any ample line bundle on $X$. We show that the syzygy bundle $M_L$ defined as the kernel of the evalution map $H^0(X, L) \otimes \mathcal{O}_X \rightarrow L$ is $L$-stable. In the last part of this note we focus on the rigidness of $M_L$ to study the local shape of the moduli space around the point $\left[M_L\right]$.-
dc.format.extent13 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherSpringer Verlag-
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1007/s10231-023-01359-2-
dc.relation.ispartofAnnali di Matematica Pura ed Applicata, 2023, vol. 203, num.1, p. 221-233-
dc.relation.urihttps://doi.org/10.1007/s10231-023-01359-2-
dc.rightscc by (c) Rosa M. Miró-Roig et al., 2023-
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)-
dc.subject.classificationÀlgebra commutativa-
dc.subject.classificationSuperfícies algebraiques-
dc.subject.classificationGeometria algebraica-
dc.subject.classificationVarietats algebraiques-
dc.subject.otherCommutative algebra-
dc.subject.otherAlgebraic surfaces-
dc.subject.otherAlgebraic geometry-
dc.subject.otherAlgebraic varieties-
dc.titleEin–Lazarsfeld–Mustopa conjecture for the blow-up of a projective space-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.identifier.idgrec743642-
dc.date.updated2025-04-28T07:17:01Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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