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Roya Beheshti

Lines on projective hypersurfaces

We study the Hilbert scheme of lines on hypersurfaces in the projective space. The main result is that for a smooth Fano hypersurface of degree at most 6 over an algebraically closed field of characteristic zero, the Hilbert scheme of lines has always the expected dimension.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2006, 03/2006
Pages: 1 - 21

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