On a conjecture of Kontsevich and variants of Castelnuovo's lemma Academic Article uri icon

abstract

  • Let A = (aij) be an orthogonal matrix (over or ) with no entries zero. Let B = (bij) be the matrix defined by bij = 1/aij. M. Kontsevich conjectured that the rank of B is never equal to three. We interpret this conjecture geometrically and prove it. The geometric statement can be understood as variants of the Castelnuovo lemma and Brianchon's theorem.

published proceedings

  • COMPOSITIO MATHEMATICA

author list (cited authors)

  • Landsberg, J. M.

complete list of authors

  • Landsberg, JM

publication date

  • January 1, 1999 11:11 AM