Curves in the Double Plane
نویسندگان
چکیده
We study in detail locally Cohen-Macaulay curves in P 3 which are contained in a double plane 2H , thus completing the classification of curves lying on surfaces of degree two. We describe the irreducible components of the Hilbert schemes Hd,g(2H) of locally Cohen-Macaulay curves in 2H of degree d and arithmetic genus g, and we show that Hd,g(2H) is connected. We also discuss the Rao module of these curves and liaison and biliaison equivalence classes.
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