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    Projective normality for some families of surfaces of general type

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    Rajaguru_ku_0099D_15416_DATA_1.pdf (415.9Kb)
    Issue Date
    2017-08-31
    Author
    Rajaguru, Biswajit
    Publisher
    University of Kansas
    Format
    55 pages
    Type
    Dissertation
    Degree Level
    Ph.D.
    Discipline
    Mathematics
    Rights
    Copyright held by the author.
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    Abstract
    In this thesis, we present the author's joint research with Lei Song, published in \cite{RS}. We show this: Suppose X is a minimal surface, which is a ramified double covering f:X- S, of a rational surface S, with dim |-K_S|= 1. And suppose L is a divisor on S, such that L.L= 7 and L. C= 3 for any curve C on S. Then K_X+f*L is base-point free and the natural map Sym^r(H^0(K_X+f*L))- H^0(r(K_X+f*L)), is surjective for all r=1. In particular this implies, when S is also smooth and L is an ample line bundle on S, that K_X+nf*L embeds X as a projectively normal variety for all n = 3.
    URI
    http://hdl.handle.net/1808/26022
    Collections
    • Mathematics Dissertations and Theses [180]
    • Dissertations [4472]

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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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