Syzygies of projective surfaces: an overview
| dc.contributor.author | Gallego Rodrigo, Francisco Javier | |
| dc.contributor.author | Purnaprajna, Bangere P. | |
| dc.date.accessioned | 2023-06-20T18:44:12Z | |
| dc.date.available | 2023-06-20T18:44:12Z | |
| dc.date.issued | 1999 | |
| dc.description.abstract | This is a survey article concerning the syzygies of projective smooth varieties, with particular emphasis on the surface case. It describes some special cases of surfaces in which the so-called Mukai conjecture holds (namely, if KX is the canonical bundle and A is an ample line bundle then the conjecture says that KX+mA satisfies the Np-property for m≥p+4). In higher dimension the case of Calabi-Yau threefolds and the example of the Veronese embedding of Pn are considered. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21341 | |
| dc.identifier.issn | 0970-1249 | |
| dc.identifier.officialurl | http://www.ramanujanmathsociety.org/publications/journal-of-the-rms | |
| dc.identifier.relatedurl | http://www.ramanujanmathsociety.org/home | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58473 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of the Ramanujan Mathematical Society | |
| dc.page.final | 93 | |
| dc.page.initial | 65 | |
| dc.publisher | Ramanujan Mathematical Society | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Surfaces with positive irregularity | |
| dc.subject.keyword | Koszul cohomology groups | |
| dc.subject.keyword | Positive Kodaira dimension | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Syzygies of projective surfaces: an overview | |
| dc.type | journal article | |
| dc.volume.number | 14 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 708fdd58-694b-4a58-8267-1013d3272036 | |
| relation.isAuthorOfPublication.latestForDiscovery | 708fdd58-694b-4a58-8267-1013d3272036 |