The author proves that the scheme of lines on any nonsingular quartic hypersurface in P4 is one dimensional, provided the characteristic of the base field k is different from 2 and 3. The methods of proof are based upon the special geometry of quartics.
Lines on quartic threefolds.
COLLINO, Alberto
1979-01-01
Abstract
The author proves that the scheme of lines on any nonsingular quartic hypersurface in P4 is one dimensional, provided the characteristic of the base field k is different from 2 and 3. The methods of proof are based upon the special geometry of quartics.
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