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On the cohomology of projective curves

dc.book.titleSpace Curves
dc.contributor.authorSols Lucía, Ignacio
dc.contributor.authorEllia, Ph.
dc.contributor.editorGhione, Franco
dc.contributor.editorPeskine, Christian
dc.contributor.editorSernesi , Edoardo
dc.date.accessioned2023-06-21T02:42:50Z
dc.date.available2023-06-21T02:42:50Z
dc.date.issued1987
dc.descriptionProceedings of a Conference, held in Rocca di Papa, Italy, June 3–8, 1985.
dc.description.abstractLet 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.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21058
dc.identifier.doi10.1007/BFb0078178
dc.identifier.isbn978-3-540-18020-3
dc.identifier.officialurlhttp://link.springer.com/content/pdf/10.1007%2FBFb0078178.pdf#
dc.identifier.relatedurlhttp://link.springer.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/65450
dc.page.final83
dc.page.initial74
dc.page.total272
dc.publication.placeHeidelberg
dc.publisherSpringer
dc.relation.ispartofseriesLecture Notes in Mathematics
dc.rights.accessRightsmetadata only access
dc.subject.cdu512
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleOn the cohomology of projective curves
dc.typebook part
dc.volume.number1266
dcterms.referencesAltman 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.typePublication
relation.isAuthorOfPublication6d35def4-3d5f-4978-800f-82b7edf76b5d
relation.isAuthorOfPublication.latestForDiscovery6d35def4-3d5f-4978-800f-82b7edf76b5d

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