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- W4328136329 abstract "Let (X,L) be a complex polarized n-fold with the structure of a classical scroll over a smooth projective threefold Y. The Hilbert curve of such a pair (X,L) is a complex affine plane curve of degree n, consisting of n−3 evenly spaced parallel lines plus a cubic. This paper is devoted to a detailed study of this cubic. In particular, existence of triple points, behavior with respect to the line at infinity, and non-reducedness, are analyzed in connection with the structure of (X,L). Special attention is reserved to the case n=4, where various examples are presented and the possibility that the cubic is itself the Hilbert curve of the base threefold Y for a suitable polarization is discussed." @default.
- W4328136329 created "2023-03-22" @default.
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- W4328136329 date "2023-10-01" @default.
- W4328136329 modified "2023-10-16" @default.
- W4328136329 title "Hilbert curves of scrolls over threefolds" @default.
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- W4328136329 doi "https://doi.org/10.1016/j.jpaa.2023.107380" @default.
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