A Note on Smooth Surfaces in P^4

Author: Di Gennaro V.  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.71, Iss.1, 1998-06, pp. : 91-96

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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 P^4 not of general type.