On the minimal free resolution of $n+1$ general forms

We give very good bounds on the graded Betti numbers in many other cases. We also extend a result of M. Boij by giving the graded Betti numbers for a generic compressed Gorenstein algebra (i.e., one for which the Hilbert function is maximal, given $n$ and the socle degree) when $n$ is even and the s...

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Detalles Bibliográficos
Autores: Migliore, Juan C. (Juan Carlos), 1956-, Miró-Roig, Rosa M. (Rosa Maria)
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/96551
Acceso en línea:https://hdl.handle.net/2445/96551
Access Level:acceso abierto
Palabra clave:Àlgebra
Topologia algebraica
Algebra
Algebraic topology
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spelling On the minimal free resolution of $n+1$ general formsMigliore, Juan C. (Juan Carlos), 1956-Miró-Roig, Rosa M. (Rosa Maria)ÀlgebraTopologia algebraicaAlgebraAlgebraic topologyWe give very good bounds on the graded Betti numbers in many other cases. We also extend a result of M. Boij by giving the graded Betti numbers for a generic compressed Gorenstein algebra (i.e., one for which the Hilbert function is maximal, given $n$ and the socle degree) when $n$ is even and the socle degree is large. A recurring theme is to examine when and why the minimal free resolution may be forced to have redundant summands. We conjecture that if the forms all have the same degree, then there are no redundant summands, and we present some evidence for this conjecture.American Mathematical Society (AMS)2003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/96551Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-02-03092-1Transactions of the American Mathematical Society, 2003, vol. 355, p. 1-36http://dx.doi.org/10.1090/S0002-9947-02-03092-1(c) American Mathematical Society (AMS), 2003info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/965512026-05-27T06:46:51Z
dc.title.none.fl_str_mv On the minimal free resolution of $n+1$ general forms
title On the minimal free resolution of $n+1$ general forms
spellingShingle On the minimal free resolution of $n+1$ general forms
Migliore, Juan C. (Juan Carlos), 1956-
Àlgebra
Topologia algebraica
Algebra
Algebraic topology
title_short On the minimal free resolution of $n+1$ general forms
title_full On the minimal free resolution of $n+1$ general forms
title_fullStr On the minimal free resolution of $n+1$ general forms
title_full_unstemmed On the minimal free resolution of $n+1$ general forms
title_sort On the minimal free resolution of $n+1$ general forms
dc.creator.none.fl_str_mv Migliore, Juan C. (Juan Carlos), 1956-
Miró-Roig, Rosa M. (Rosa Maria)
author Migliore, Juan C. (Juan Carlos), 1956-
author_facet Migliore, Juan C. (Juan Carlos), 1956-
Miró-Roig, Rosa M. (Rosa Maria)
author_role author
author2 Miró-Roig, Rosa M. (Rosa Maria)
author2_role author
dc.subject.none.fl_str_mv Àlgebra
Topologia algebraica
Algebra
Algebraic topology
topic Àlgebra
Topologia algebraica
Algebra
Algebraic topology
description We give very good bounds on the graded Betti numbers in many other cases. We also extend a result of M. Boij by giving the graded Betti numbers for a generic compressed Gorenstein algebra (i.e., one for which the Hilbert function is maximal, given $n$ and the socle degree) when $n$ is even and the socle degree is large. A recurring theme is to examine when and why the minimal free resolution may be forced to have redundant summands. We conjecture that if the forms all have the same degree, then there are no redundant summands, and we present some evidence for this conjecture.
publishDate 2003
dc.date.none.fl_str_mv 2003
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/96551
url https://hdl.handle.net/2445/96551
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-02-03092-1
Transactions of the American Mathematical Society, 2003, vol. 355, p. 1-36
http://dx.doi.org/10.1090/S0002-9947-02-03092-1
dc.rights.none.fl_str_mv (c) American Mathematical Society (AMS), 2003
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Mathematical Society (AMS), 2003
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society (AMS)
publisher.none.fl_str_mv American Mathematical Society (AMS)
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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