On the cohomology of projective curves
dc.book.title | Space Curves | |
dc.contributor.author | Sols Lucía, Ignacio | |
dc.contributor.author | Ellia, Ph. | |
dc.contributor.editor | Ghione, Franco | |
dc.contributor.editor | Peskine, Christian | |
dc.contributor.editor | Sernesi , Edoardo | |
dc.date.accessioned | 2023-06-21T02:42:50Z | |
dc.date.available | 2023-06-21T02:42:50Z | |
dc.date.issued | 1987 | |
dc.description | Proceedings of a Conference, held in Rocca di Papa, Italy, June 3–8, 1985. | |
dc.description.abstract | Let Y be an integral, nondegenerate curve in P n and let I Y be its ideal sheaf. In this paper, the authors give bounds on the dimension of the cohomology groups h i (I Y (t)) , t>0 , 1≤i≤2 , in terms of the degree, the arithmetic genus and the index of speciality of Y . The results of this paper are not really new but they put into evidence the interest of giving the list of all possible cohomologies | |
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/21058 | |
dc.identifier.doi | 10.1007/BFb0078178 | |
dc.identifier.isbn | 978-3-540-18020-3 | |
dc.identifier.officialurl | http://link.springer.com/content/pdf/10.1007%2FBFb0078178.pdf# | |
dc.identifier.relatedurl | http://link.springer.com/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/65450 | |
dc.page.final | 83 | |
dc.page.initial | 74 | |
dc.page.total | 272 | |
dc.publication.place | Heidelberg | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Lecture Notes in Mathematics | |
dc.rights.accessRights | metadata only access | |
dc.subject.cdu | 512 | |
dc.subject.ucm | Álgebra | |
dc.subject.unesco | 1201 Álgebra | |
dc.title | On the cohomology of projective curves | |
dc.type | book part | |
dc.volume.number | 1266 | |
dcterms.references | Altman A.B.-Kleiman S.: "Introduction to Grothendieck duality" LN 146, Springer (1970) Arbarello E.-Cornalba M.-Griffiths P.A.-Harris J.: "Geometry of algebraic curves, I", Grundlehren der Math. Wissenschaften 267, Springer (1985) Ballico E.-Ellia Ph.: "The maximal rank conjecture for non special curves in ℙ3" Invent. Math. 79, 541–555 (1985) Ballico E.-Ellia Ph.: "Beyond the maximal rank conjecture for curves in ℙ3", this volume Castelnuovo G.: "Sui multipli di una serie lineare..." Rend. Circ. Mat. Palermo 7, 89–110 (1893) Griffiths P.-Harris J.: "Principle of algebraic geometry" Wiley Interscience (1978) Gruson L.-Lazarsfeld R.-Peskine C.: "On a theorem of Castelnuovo and equation defining space curves" Invent. Math. 72, 491–506 (1983) Gruson L.-Peskine C.: "Postulation des courbes gauches" in "Algebraic geometry-open problems, Ravello 1982", LN 997, Springer (1983) Gruson L.-Peskine C.: "Space curves complete series and speciality" this volume Halphen G.: "Mémoire sur la classification des courbes gauches" in Oeuvres complètes Hartshorne R.: "Stable reflexive sheaves" Math. Ann. 254, 121–176 (1980) Hernandez R.-Mallavibarrena R.-Sols I.: "An algebraic proof of the uniform position principle" Preprint Madrid (1985) | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 6d35def4-3d5f-4978-800f-82b7edf76b5d | |
relation.isAuthorOfPublication.latestForDiscovery | 6d35def4-3d5f-4978-800f-82b7edf76b5d |