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arXiv · 0810.4158

On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines

J. M. Landsberg·Orsola Tommasi
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Abstract

We show that the Debarre-de Jong conjecture that the Fano scheme of lines on a smooth hypersurface of degree at most n in n-dimensional projective space must have its expected dimension, and the Beheshti-Starr conjecture that bounds the dimension of the Fano scheme of lines for hypersurfaces of degree at least n in n-dimensional projective space, reduce to determining if the intersection of the top Chern classes of certain vector bundles is nonzero.

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J. M. Landsberg, Orsola Tommasi. 2008-10-22. On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines. https://arxiv.org/abs/0810.4158

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