Stability of syzygy bundles
Autor(a) principal: | |
---|---|
Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/2502 |
Resumo: | We show that given integers $N$, $d$ and $n$ such that ${N\ge2}$, ${(N,d,n)\ne(2,2,5)}$, and ${N+1\le n\le\tbinom{d+N}{N}}$, there is a family of $n$ monomials in $K[X_0,\ldots,X_N]$ of degree $d$ such that their syzygy bundle is stable. Case ${N\ge3}$ was obtained independently by Coand\v{a} with a different choice of families of monomials [Coa09]. For ${(N,d,n)=(2,2,5)}$, there are $5$ monomials of degree~$2$ in $K[X_0,X_1,X_2]$ such that their syzygy bundle is semistable. |
id |
RCAP_acb96db15bf836dd9a9a11bdb842677f |
---|---|
oai_identifier_str |
oai:dspace.uevora.pt:10174/2502 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Stability of syzygy bundlesgeometria algébricafibrados vectoriaisfibrados de sizígiasespaços de moduliWe show that given integers $N$, $d$ and $n$ such that ${N\ge2}$, ${(N,d,n)\ne(2,2,5)}$, and ${N+1\le n\le\tbinom{d+N}{N}}$, there is a family of $n$ monomials in $K[X_0,\ldots,X_N]$ of degree $d$ such that their syzygy bundle is stable. Case ${N\ge3}$ was obtained independently by Coand\v{a} with a different choice of families of monomials [Coa09]. For ${(N,d,n)=(2,2,5)}$, there are $5$ monomials of degree~$2$ in $K[X_0,X_1,X_2]$ such that their syzygy bundle is semistable.American Mathematical Society2011-01-25T09:28:17Z2011-01-252011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article206787 bytesapplication/pdfhttp://hdl.handle.net/10174/2502http://hdl.handle.net/10174/2502eng0002-9939Proceedings of the American Mathematical Societylivrepmm@uevora.ptmiro@ub.eduOno, Ken337Macias Marques, PedroMiró Roig, Rosa Maríainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:39:03Zoai:dspace.uevora.pt:10174/2502Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:58:12.608446Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Stability of syzygy bundles |
title |
Stability of syzygy bundles |
spellingShingle |
Stability of syzygy bundles Macias Marques, Pedro geometria algébrica fibrados vectoriais fibrados de sizígias espaços de moduli |
title_short |
Stability of syzygy bundles |
title_full |
Stability of syzygy bundles |
title_fullStr |
Stability of syzygy bundles |
title_full_unstemmed |
Stability of syzygy bundles |
title_sort |
Stability of syzygy bundles |
author |
Macias Marques, Pedro |
author_facet |
Macias Marques, Pedro Miró Roig, Rosa María |
author_role |
author |
author2 |
Miró Roig, Rosa María |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Macias Marques, Pedro Miró Roig, Rosa María |
dc.subject.por.fl_str_mv |
geometria algébrica fibrados vectoriais fibrados de sizígias espaços de moduli |
topic |
geometria algébrica fibrados vectoriais fibrados de sizígias espaços de moduli |
description |
We show that given integers $N$, $d$ and $n$ such that ${N\ge2}$, ${(N,d,n)\ne(2,2,5)}$, and ${N+1\le n\le\tbinom{d+N}{N}}$, there is a family of $n$ monomials in $K[X_0,\ldots,X_N]$ of degree $d$ such that their syzygy bundle is stable. Case ${N\ge3}$ was obtained independently by Coand\v{a} with a different choice of families of monomials [Coa09]. For ${(N,d,n)=(2,2,5)}$, there are $5$ monomials of degree~$2$ in $K[X_0,X_1,X_2]$ such that their syzygy bundle is semistable. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-01-25T09:28:17Z 2011-01-25 2011-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10174/2502 http://hdl.handle.net/10174/2502 |
url |
http://hdl.handle.net/10174/2502 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0002-9939 Proceedings of the American Mathematical Society livre pmm@uevora.pt miro@ub.edu Ono, Ken 337 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
206787 bytes application/pdf |
dc.publisher.none.fl_str_mv |
American Mathematical Society |
publisher.none.fl_str_mv |
American Mathematical Society |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
_version_ |
1799136465206116353 |