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- W93643917 abstract "Generic realizations of configurations of lines as reducible projective varieties in P n are constructed numerically. Examples are taken from projections of abstract seminormal configurations and the classical geometry related to Schlafli's double-six configuration. The ideal defining the homogeneous coordinate ring of a realization is calculated along with its Hilbert Function, identifying which examples are complete intersections. In particular a generic Schlafli double-six is constructed and shown to be the complete intersection of a cubic and quartic surface. Using the numerical algebraic geometry software Bertini, it is then possible to give explicit equations for all 27 lines on this cubic surface." @default.
- W93643917 created "2016-06-24" @default.
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- W93643917 date "2008-01-01" @default.
- W93643917 modified "2023-09-26" @default.
- W93643917 title "Ideals of numerically generic realizations of configurations of Lines" @default.
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