Some results on rational surfaces and Fano varieties.

The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle L on X, we give an optimal numerical criterion for L to satisfy property N-p. This criterion turns ou...

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Detalles Bibliográficos
Autores: Gallego Rodrigo, Francisco Javier, Purnaprajna, Bangere P.
Tipo de recurso: artículo
Fecha de publicación:2001
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/57287
Acceso en línea:https://hdl.handle.net/20.500.14352/57287
Access Level:acceso abierto
Palabra clave:512.7
Rational surface
Fano variety
line bundle
Syzygy
property Np
Adjunction bundles
Koszul cohomology
Geometria algebraica
1201.01 Geometría Algebraica
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spelling Some results on rational surfaces and Fano varieties.Gallego Rodrigo, Francisco JavierPurnaprajna, Bangere P.512.7Rational surfaceFano varietyline bundleSyzygyproperty NpAdjunction bundlesKoszul cohomologyGeometria algebraica1201.01 Geometría AlgebraicaThe goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle L on X, we give an optimal numerical criterion for L to satisfy property N-p. This criterion turns out to be a characterization of property N-p if X is anticanonical. We also prove syzygy results for adjunction bundles and a Reider type theorem for higher syzygiesWalter de Gruyter & coUniversidad Complutense de Madrid20012001-01-0120012001-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/57287reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/572872026-06-02T12:44:21Z
dc.title.none.fl_str_mv Some results on rational surfaces and Fano varieties.
title Some results on rational surfaces and Fano varieties.
spellingShingle Some results on rational surfaces and Fano varieties.
Gallego Rodrigo, Francisco Javier
512.7
Rational surface
Fano variety
line bundle
Syzygy
property Np
Adjunction bundles
Koszul cohomology
Geometria algebraica
1201.01 Geometría Algebraica
title_short Some results on rational surfaces and Fano varieties.
title_full Some results on rational surfaces and Fano varieties.
title_fullStr Some results on rational surfaces and Fano varieties.
title_full_unstemmed Some results on rational surfaces and Fano varieties.
title_sort Some results on rational surfaces and Fano varieties.
dc.creator.none.fl_str_mv Gallego Rodrigo, Francisco Javier
Purnaprajna, Bangere P.
author Gallego Rodrigo, Francisco Javier
author_facet Gallego Rodrigo, Francisco Javier
Purnaprajna, Bangere P.
author_role author
author2 Purnaprajna, Bangere P.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512.7
Rational surface
Fano variety
line bundle
Syzygy
property Np
Adjunction bundles
Koszul cohomology
Geometria algebraica
1201.01 Geometría Algebraica
topic 512.7
Rational surface
Fano variety
line bundle
Syzygy
property Np
Adjunction bundles
Koszul cohomology
Geometria algebraica
1201.01 Geometría Algebraica
description The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle L on X, we give an optimal numerical criterion for L to satisfy property N-p. This criterion turns out to be a characterization of property N-p if X is anticanonical. We also prove syzygy results for adjunction bundles and a Reider type theorem for higher syzygies
publishDate 2001
dc.date.none.fl_str_mv 2001
2001-01-01
2001
2001-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/57287
url https://hdl.handle.net/20.500.14352/57287
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Walter de Gruyter & co
publisher.none.fl_str_mv Walter de Gruyter & co
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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