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Higher order dual varieties of generically k-regular surfaces

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dc.contributor.authorMallavibarrena Martínez de Castro, Raquel
dc.contributor.authorLanteri, Antonio
dc.date.accessioned2023-06-20T16:59:21Z
dc.date.available2023-06-20T16:59:21Z
dc.date.issued2000-07-03
dc.description.abstractWe prove that, if a smooth complex projective surface S subset of P-N is k-regular, then its k-th order dual variety has the expected dimension, except if S is the k-th Veronese surface. This answers positively a conjecture stated in a previous paper.
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/16625
dc.identifier.doi10.1007/s000130050476
dc.identifier.issn0003-889X
dc.identifier.officialurlhttp://www.springerlink.com/content/798frv8177k0eq90/fulltext.pdf
dc.identifier.relatedurlhttp://www.springerlink.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57578
dc.issue.number1
dc.journal.titleArchiv der Mathematik
dc.language.isoeng
dc.page.final80
dc.page.initial75
dc.publisherBirkhäuser Verlag
dc.rights.accessRightsrestricted access
dc.subject.cdu512.543.73
dc.subject.keywordAdjunction
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleHigher order dual varieties of generically k-regular surfaces
dc.typejournal article
dc.volume.number75
dcterms.referencesM. C. BELTRAMETTI and A. J. SOMMESE, On the preservation of k -very ampleness under adjunction. Math. Z. 212, 257–284 (1993). M. C. BELTRAMETTI and A. J. SOMMESE, The Adjunction Theory of Complex Projective Varieties. Exposition Math. 16, Berlin 1995. P. IONESCU, Embedded projective varieties with small invariants. Algebraic Geometry, Proc. Bucharest, 1982. In: L. Bădescu et al., eds., LNM 1056, 142–187. Berlin-Heidelberg-New York 1984. S. L. KLEIMAN, Tangency and Duality. In: Proc. 1984 Vancouver Conference in Algebraic Geometry, J. Carrell et al., eds., Can. Math. Soc. Conf. Proc. 6, 163–225 (1986). A. LANTERI and R. MALLAVIBARRENA, Higher order dual varieties of projective surfaces. Comm. Algebra 27, 4827–4851 (1999). I. REIDER, Vector bundles of rank 2 and linear systems on algebraic surfaces. Ann. Math. 127, 309–316 (1988). A. J. SOMMESE and A. VAN DE VEN, On the adjunction mapping. Math. Ann. 278, 593–603 (1987).
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