Projective normality and syzygies of algebraic surfaces

In this work we develop new techniques to compute Koszul cohomology groups for several classes of varieties. As applications we prove results on projective normality and syzygies for algebraic surfaces. From more general results we, obtain in particular the following: (a) Mukai's conjecture (an...

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Detalles Bibliográficos
Autores: Gallego Rodrigo, Francisco Javier, Purnaprajna, Bangere P.
Tipo de recurso: artículo
Fecha de publicación:1999
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:español
OAI Identifier:oai:docta.ucm.es:20.500.14352/57295
Acceso en línea:https://hdl.handle.net/20.500.14352/57295
Access Level:acceso abierto
Palabra clave:512.7
Koszul cohomology
Projective normality
Syzygies
Enriques surfaces
Adjoint bundles
surfaces of general type
Geometria algebraica
1201.01 Geometría Algebraica
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spelling Projective normality and syzygies of algebraic surfacesGallego Rodrigo, Francisco JavierPurnaprajna, Bangere P.512.7Koszul cohomologyProjective normalitySyzygiesEnriques surfacesAdjoint bundlessurfaces of general typeGeometria algebraica1201.01 Geometría AlgebraicaIn this work we develop new techniques to compute Koszul cohomology groups for several classes of varieties. As applications we prove results on projective normality and syzygies for algebraic surfaces. From more general results we, obtain in particular the following: (a) Mukai's conjecture (and stronger variants of it) regarding projective normality and normal presentation for surfaces with Kodaira dimension 0, and uniform bounds for higher syzygies associated to adjoint linear series, (b) effective bounds along the lines of Mukai's conjecture regarding projective normality and normal presentation for surfaces of positive Kodaira dimension, and, (c) results on projective normality for pluricanonical models of surfaces of general type (recovering and strengthening results by Ciliberto) and generalizations of them to higher syzygies. In addition, we also extend the above results to singular surfaces.Walter de GruyterUniversidad Complutense de Madrid19991999-01-0119991999-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://hdl.handle.net/20.500.14352/57295reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Españolspaopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/572952026-06-02T12:44:21Z
dc.title.none.fl_str_mv Projective normality and syzygies of algebraic surfaces
title Projective normality and syzygies of algebraic surfaces
spellingShingle Projective normality and syzygies of algebraic surfaces
Gallego Rodrigo, Francisco Javier
512.7
Koszul cohomology
Projective normality
Syzygies
Enriques surfaces
Adjoint bundles
surfaces of general type
Geometria algebraica
1201.01 Geometría Algebraica
title_short Projective normality and syzygies of algebraic surfaces
title_full Projective normality and syzygies of algebraic surfaces
title_fullStr Projective normality and syzygies of algebraic surfaces
title_full_unstemmed Projective normality and syzygies of algebraic surfaces
title_sort Projective normality and syzygies of algebraic surfaces
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
Koszul cohomology
Projective normality
Syzygies
Enriques surfaces
Adjoint bundles
surfaces of general type
Geometria algebraica
1201.01 Geometría Algebraica
topic 512.7
Koszul cohomology
Projective normality
Syzygies
Enriques surfaces
Adjoint bundles
surfaces of general type
Geometria algebraica
1201.01 Geometría Algebraica
description In this work we develop new techniques to compute Koszul cohomology groups for several classes of varieties. As applications we prove results on projective normality and syzygies for algebraic surfaces. From more general results we, obtain in particular the following: (a) Mukai's conjecture (and stronger variants of it) regarding projective normality and normal presentation for surfaces with Kodaira dimension 0, and uniform bounds for higher syzygies associated to adjoint linear series, (b) effective bounds along the lines of Mukai's conjecture regarding projective normality and normal presentation for surfaces of positive Kodaira dimension, and, (c) results on projective normality for pluricanonical models of surfaces of general type (recovering and strengthening results by Ciliberto) and generalizations of them to higher syzygies. In addition, we also extend the above results to singular surfaces.
publishDate 1999
dc.date.none.fl_str_mv 1999
1999-01-01
1999
1999-01-01
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/20.500.14352/57295
url https://hdl.handle.net/20.500.14352/57295
dc.language.none.fl_str_mv Español
spa
language_invalid_str_mv Español
language spa
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
application/pdf
dc.publisher.none.fl_str_mv Walter de Gruyter
publisher.none.fl_str_mv Walter de Gruyter
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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