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http://hdl.handle.net/2445/192861
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DC Field | Value | Language |
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dc.contributor.author | Kleppe, Jan O. | - |
dc.contributor.author | Miró-Roig, Rosa M. (Rosa Maria) | - |
dc.date.accessioned | 2023-01-31T10:50:34Z | - |
dc.date.available | 2023-01-31T10:50:34Z | - |
dc.date.issued | 2017-02-25 | - |
dc.identifier.issn | 1386-923X | - |
dc.identifier.uri | http://hdl.handle.net/2445/192861 | - |
dc.description.abstract | This work is entirely devoted to construct huge families of indecomposable arithmetically Cohen-Macaulay (resp. Ulrich) sheaves $\mathcal{E}$ of arbitrary high rank on a general standard (resp. linear) determinantal scheme $X \subset \mathbb{P}^n$ of codimension $c \geq 1, n-c \geq 1$ and defined by the maximal minors of a $t \times(t+c-1)$ homogeneous matrix $\mathcal{A}$. The sheaves $\mathcal{E}$ are constructed as iterated extensions of sheaves of lower rank. As applications: (1) we prove that any general standard determinantal scheme $X \subset \mathbb{P}^n$ is of wild representation type provided the degrees of the entries of the matrix $\mathcal{A}$ satisfy some weak numerical assumptions; and (2) we determine values of $t, n$ and $n-c$ for which a linear standard determinantal scheme $X \subset \mathbb{P}^n$ is of wild representation type with respect to the much more restrictive category of its indecomposable Ulrich sheaves, i.e. $X$ is of Ulrich wild representation type. | - |
dc.format.extent | 31 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s10468-017-9673-4 | - |
dc.relation.ispartof | Algebras And Representation Theory, 2017, vol. 20, num. 4, p. 1029-1059 | - |
dc.relation.uri | https://doi.org/10.1007/s10468-017-9673-4 | - |
dc.rights | (c) Springer Verlag, 2017 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Varietats (Matemàtica) | - |
dc.subject.classification | Teoria de mòduls | - |
dc.subject.classification | Àlgebra homològica | - |
dc.subject.classification | Anells associatius | - |
dc.subject.other | Manifolds (Mathematics) | - |
dc.subject.other | Moduli theory | - |
dc.subject.other | Homological algebra | - |
dc.subject.other | Associative rings | - |
dc.title | The representation type of determinantal varieties | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 668045 | - |
dc.date.updated | 2023-01-31T10:50:34Z | - |
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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668045.pdf | 376.51 kB | Adobe PDF | View/Open |
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