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Appendix to "Congruences of small degree in G(1,4)": Pfaffian linkage in codimension three and applications to congruences

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dc.contributor.authorArrondo Esteban, Enrique
dc.date.accessioned2023-06-20T16:50:03Z
dc.date.available2023-06-20T16:50:03Z
dc.date.issued1998
dc.description.abstractWe introduce the notion of Pfaffian linkage in codimension three and give sufficient conditions for the linked variety to be smooth. As a result, we are able to construct smooth congruences of lines in P-4 whose existence was an open problem.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14847
dc.identifier.doi10.1080/00927879808826341
dc.identifier.issn0092-7872
dc.identifier.officialurlhttp://www.tandfonline.com/loi/lagb20
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57177
dc.issue.number10
dc.journal.titleCommunications in Algebra
dc.language.isoeng
dc.page.final3274
dc.page.initial3267
dc.publisherMarcel Dekker
dc.relation.projectIDPB93-0440-C03-01
dc.rights.accessRightsrestricted access
dc.subject.cdu512.7
dc.subject.keywordGrassmannian
dc.subject.keywordPfaffian linkage
dc.subject.keywordliaison
dc.subject.keywordcodimension-three
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleAppendix to "Congruences of small degree in G(1,4)": Pfaffian linkage in codimension three and applications to congruences
dc.typejournal article
dc.volume.number26
dcterms.references[I] E.Arrondo, M.Bertolini, C. Turrini. Quadric bundle congruences in C(1,n) Preprint 1997. [2] E.Arrondo, M.Bertolini, C. Turrini. Congruences of small degree in G(1,4) Comm. Algebra, 26( 1998). 3249-3266 [3] E.Arrondo, 1.Sols. On congruences of lines in the projective space, Me'm. Soc. Math. France 50 (1992). [4] K.Okonek. Notes on varieties of codimension 3 in PN, Manuscr. Math. 84 (1994), 421-442. [5] C.Peskine, L.Szpiro. Liaison des varidtCs algdbriques. I Invent. Math. 26(1974) 271-302. [6] P.Schenzel. Notes on liaison and duality J. Math. Kyoto Univ. 22(1982), 485- 498. [7] C.H.Walter. Cohen-Macaulay liaison J.Relne angew. Math. 444(1993), 101-114. [8] C.H.Walter. Pfaffian subschemes Preprint 1995. Received
dspace.entity.typePublication
relation.isAuthorOfPublication5bd88a9c-e3d0-434a-a675-3221b2fde0e4
relation.isAuthorOfPublication.latestForDiscovery5bd88a9c-e3d0-434a-a675-3221b2fde0e4

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