Abstract
We exhibit a simpler and quick proof of a theorem proved by G. Ellingsrud and Ch. Peskine, which states that there are only a finite number of components in the Hilbert scheme parametrizing smooth surfaces in P4 not of general type.
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Di Gennaro, V. A Note on Smooth Surfaces in P4 . Geometriae Dedicata 71, 91–96 (1998). https://doi.org/10.1023/A:1005013128765
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DOI: https://doi.org/10.1023/A:1005013128765