| Applications of iterated curve blowup to set-theoretic complete intersections in P3 (1994) | |||||||||
Abstract | |||||||||
| Let S, T be surfaces in P3. Suppose that S intersect T is set-theoretically a smooth curve C of degree d and genus g. Suppose that S and T have no common singular points. Then if C is not a complete intersection, then deg(S), deg(T) < 2d^4. Fixing (d,g), one can form a finite (shorter) list of all possible pairs (deg(S),deg(T)). For instance, when (d,g) = (4,0), and assuming for simplicity that deg(S) . Comment: 57 pages, AMS-LaTeX | |||||||||
Publication details | |||||||||
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