Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-21 |
| Number of pages | 21 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Issue number | 592 |
| DOIs | |
| State | Published - Mar 24 2006 |