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DC Field | Value | Language |
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dc.contributor.author | Miró-Roig, Rosa M. (Rosa Maria) | - |
dc.contributor.author | Salat Moltó, Martí | - |
dc.date.accessioned | 2025-04-28T07:17:01Z | - |
dc.date.available | 2025-04-28T07:17:01Z | - |
dc.date.issued | 2023-01-18 | - |
dc.identifier.issn | 0373-3114 | - |
dc.identifier.uri | https://hdl.handle.net/2445/220656 | - |
dc.description.abstract | We 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.extent | 13 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1007/s10231-023-01359-2 | - |
dc.relation.ispartof | Annali di Matematica Pura ed Applicata, 2023, vol. 203, num.1, p. 221-233 | - |
dc.relation.uri | https://doi.org/10.1007/s10231-023-01359-2 | - |
dc.rights | cc by (c) Rosa M. Miró-Roig et al., 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Àlgebra commutativa | - |
dc.subject.classification | Superfícies algebraiques | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Varietats algebraiques | - |
dc.subject.other | Commutative algebra | - |
dc.subject.other | Algebraic surfaces | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Algebraic varieties | - |
dc.title | Ein–Lazarsfeld–Mustopa conjecture for the blow-up of a projective space | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 743642 | - |
dc.date.updated | 2025-04-28T07:17:01Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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