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Unirational Generalized Offset to Hypersurfaces

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E. Arrondo, J. Sendra, J.R. Sendra

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Date:  July 18th (Thursday) \\
Time: 10:30-11:00\\

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Abstract
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 In this talk, we introduce the notion of generalized offset to hypersurfaces, and we
    present a theoretical analysis of the rationality and unirationality of generalized offsets.
    Characterizations for deciding whether the generalized offset to a hypersurface is unirational
    or it has two unirational components are given. As an application, algorithmic approaches
    for surfaces and plane curves are outlined. Furthermore, we present a formula for computing
    the geometric genus of generalized offset curves by means of the degree and the
    multiplicities of the singularites of the original curve. 

