A Double Surface
نویسنده
چکیده
Let X be a doubling of a smooth surface F in a smooth threefold and let C ⊂ X be a locally Cohen-Macaulay curve. Then C gives rise to two effective divisors on F , namely the curve part P of C ∩ F and the curve R residual to C ∩ F in C. We show that a general deformation of R on F lifts to a deformation of C on X when a certain cohomology group vanishes and give applications to the study of Hilbert schemes of locally Cohen-Macaulay space curves.
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تاریخ انتشار 2001