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    Projective normality and higher syzygies for algebraic surfaces

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    Purnaprajna_Projective_Normality (Smaller).pdf (4.599Mb)
    Issue Date
    1999-03-05
    Author
    Gallego, Francisco Javier
    Purnaprajna, Bangere P.
    Publisher
    De Gruyter Open
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    Abstract
    In 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.
    Description
    This is the published version.
    URI
    http://hdl.handle.net/1808/17445
    Collections
    • Mathematics Scholarly Works [282]
    Citation
    Gallego, 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.

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    Lawrence, KS 66045
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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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