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dc.contributor.authorGallego, Francisco Javier
dc.contributor.authorPurnaprajna, Bangere P.
dc.date.accessioned2015-04-20T20:41:48Z
dc.date.available2015-04-20T20:41:48Z
dc.date.issued1999-03-05
dc.identifier.citationGallego, F. J. & Purnaprajna, B. P. "Projective normality and higher syzygies for algebraic surfaces." Journal fur die reine und angewandte Mathematik. Vol 506. pp. 145-180.en_US
dc.identifier.urihttp://hdl.handle.net/1808/17445
dc.descriptionThis is the published version.en_US
dc.description.abstractIn this work we develop new techniques to compute Koszul cohomology groups for several classes of varieties. As applications we prove results on projective normality and syzygies for algebraic surfaces. From more general results we obtain in particular the following: (a) Mukai's conjecture (and stronger variants of it) regarding projective normality and normal presentation for surfaces with Kodaira dimension 0, and uniform bounds for higher syzygies associated to adjoint linear series, (b) effective bounds along the lines of Mukai's conjecture regarding projective normality and normal presentation for surfaces of positive Kodaira dimension, and, (c) results on projective normality for pluricanonical models of surfaces of general type (recovering and strengthening results by Ciliberto) and generalizations of them to higher syzygies. In addition, we also extend the above results to singular surfaces.en_US
dc.publisherDe Gruyter Openen_US
dc.titleProjective normality and higher syzygies for algebraic surfacesen_US
dc.typeArticle
kusw.kuauthorPurnaprajna, B. P.
kusw.kudepartmentMathematicsen_US
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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