English

Lines on hypersurfaces

Algebraic Geometry 2008-10-09 v2

Abstract

This is a detailed study of the infinitesimal variation of the variety of lines through a point of a low degree hypersurface in pro jective space. The motion is governed by a system of partial differential equations which we describe explicitly.

Keywords

Cite

@article{arxiv.0805.2581,
  title  = {Lines on hypersurfaces},
  author = {J. M. Landsberg and C. Robles},
  journal= {arXiv preprint arXiv:0805.2581},
  year   = {2008}
}

Comments

v2 - substantial revision. 12 pages

R2 v1 2026-06-21T10:41:34.075Z